{"id":33972,"date":"2026-10-12T14:50:40","date_gmt":"2026-10-12T07:50:40","guid":{"rendered":"https:\/\/etest.edu.vn\/?p=33972"},"modified":"2026-10-12T15:05:50","modified_gmt":"2026-10-12T08:05:50","slug":"triangle-tam-giac-trong-bai-thi-sat","status":"publish","type":"post","link":"https:\/\/etest.edu.vn\/en\/triangle-tam-giac-trong-bai-thi-sat\/","title":{"rendered":"Triangle (tam gi\u00e1c) trong b\u00e0i thi SAT: T\u1ed5ng h\u1ee3p ki\u1ebfn th\u1ee9c, c\u00f4ng th\u1ee9c v\u00e0 chi\u1ebfn thu\u1eadt l\u00e0m b\u00e0i"},"content":{"rendered":"<p><a href=\"https:\/\/etest.edu.vn\/en\/triangle-tam-giac-trong-bai-thi-sat\/\"><b>Triangle (tam gi\u00e1c)<\/b><\/a><span style=\"font-weight: 400;\"> l\u00e0 m\u1ed9t trong nh\u1eefng ch\u1ee7 \u0111\u1ec1 h\u00ecnh h\u1ecdc quan tr\u1ecdng c\u1ea7n n\u1eafm v\u1eefng khi \u00f4n thi SAT Math. Theo College Board, nh\u00f3m n\u1ed9i dung n\u00e0y chi\u1ebfm kho\u1ea3ng 5\u20137 c\u00e2u trong m\u1ed7i module Math, bao g\u1ed3m c\u00e1c ki\u1ebfn th\u1ee9c v\u1ec1 g\u00f3c, tam gi\u00e1c, tam gi\u00e1c vu\u00f4ng, l\u01b0\u1ee3ng gi\u00e1c v\u00e0 \u0111\u01b0\u1eddng tr\u00f2n.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">C\u00e1c c\u00e2u h\u1ecfi v\u1ec1 triangle kh\u00f4ng ch\u1ec9 y\u00eau c\u1ea7u t\u00ednh g\u00f3c, c\u1ea1nh hay di\u1ec7n t\u00edch m\u00e0 c\u00f2n c\u00f3 th\u1ec3 k\u1ebft h\u1ee3p v\u1edbi <\/span><b>similar triangles, parallel lines, Pythagorean Theorem<\/b><span style=\"font-weight: 400;\"> v\u00e0 c\u00e1c h\u00ecnh h\u1ecdc kh\u00e1c.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u0110i\u1ec3m quan tr\u1ecdng l\u00e0 nh\u1eadn di\u1ec7n \u0111\u00fang c\u1ea5u tr\u00fac c\u1ee7a h\u00ecnh tr\u01b0\u1edbc khi b\u1eaft \u0111\u1ea7u t\u00ednh to\u00e1n. M\u1ed9t khi x\u00e1c \u0111\u1ecbnh \u0111\u01b0\u1ee3c lo\u1ea1i tam gi\u00e1c v\u00e0 m\u1ed1i quan h\u1ec7 gi\u1eefa c\u00e1c \u0111\u1ea1i l\u01b0\u1ee3ng, nhi\u1ec1u c\u00e2u h\u1ecfi c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c gi\u1ea3i ch\u1ec9 b\u1eb1ng m\u1ed9t v\u00e0i b\u01b0\u1edbc ng\u1eafn. B\u00e0i vi\u1ebft d\u01b0\u1edbi \u0111\u00e2y s\u1ebd h\u1ec7 th\u1ed1ng c\u00e1c lo\u1ea1i tam gi\u00e1c, c\u00f4ng th\u1ee9c c\u1ea7n nh\u1edb, d\u1ea1ng c\u00e2u h\u1ecfi th\u01b0\u1eddng g\u1eb7p v\u00e0 c\u00e1ch x\u1eed l\u00fd t\u1eebng d\u1ea1ng trong SAT Math.<\/span><\/p>\n<h2><b>1. Triangle l\u00e0 g\u00ec? \u0110\u1ecbnh ngh\u0129a v\u00e0 c\u00e1c th\u00e0nh ph\u1ea7n c\u01a1 b\u1ea3n<\/b><\/h2>\n<p><b>Triangle (tam gi\u00e1c)<\/b><span style=\"font-weight: 400;\"> l\u00e0 m\u1ed9t h\u00ecnh ph\u1eb3ng \u0111\u01b0\u1ee3c t\u1ea1o th\u00e0nh b\u1edfi ba \u0111o\u1ea1n th\u1eb3ng n\u1ed1i v\u1edbi nhau t\u1ea1i ba \u0111\u1ec9nh, t\u1ea1o th\u00e0nh ba g\u00f3c. D\u00f9 c\u00f3 h\u00ecnh d\u1ea1ng v\u00e0 k\u00edch th\u01b0\u1edbc kh\u00e1c nhau, m\u1ecdi tam gi\u00e1c \u0111\u1ec1u tu\u00e2n theo m\u1ed9t quy t\u1eafc c\u01a1 b\u1ea3n: <\/span><b>t\u1ed5ng s\u1ed1 \u0111o ba g\u00f3c trong m\u1ed9t tam gi\u00e1c lu\u00f4n b\u1eb1ng 180\u00b0\u00a0<\/b><\/p>\n<p><img decoding=\"async\" class=\"aligncenter size-full wp-image-33974\" src=\"https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/triangle-tam-giac-trong-bai-thi-sat-1.jpg\" alt=\"Triangle l\u00e0 g\u00ec? \u0110\u1ecbnh ngh\u0129a v\u00e0 c\u00e1c th\u00e0nh ph\u1ea7n c\u01a1 b\u1ea3n\" width=\"1920\" height=\"1080\" srcset=\"https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/triangle-tam-giac-trong-bai-thi-sat-1.jpg 1920w, https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/triangle-tam-giac-trong-bai-thi-sat-1-711x400.jpg 711w, https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/triangle-tam-giac-trong-bai-thi-sat-1-1400x788.jpg 1400w, https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/triangle-tam-giac-trong-bai-thi-sat-1-768x432.jpg 768w, https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/triangle-tam-giac-trong-bai-thi-sat-1-1536x864.jpg 1536w, https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/triangle-tam-giac-trong-bai-thi-sat-1-18x10.jpg 18w\" sizes=\"(max-width: 1920px) 100vw, 1920px\" \/><\/p>\n<p><span style=\"font-weight: 400;\">C\u00e1c th\u00e0nh ph\u1ea7n c\u01a1 b\u1ea3n c\u1ee7a Triangle bao g\u1ed3m:<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">3 c\u1ea1nh<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">3 \u0111\u1ec9nh<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">3 g\u00f3c<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">Trong \u0111\u00f3, \u0111\u1ed9 d\u00e0i c\u00e1c c\u1ea1nh v\u00e0 s\u1ed1 \u0111o c\u00e1c g\u00f3c c\u00f3 m\u1ed1i quan h\u1ec7 ch\u1eb7t ch\u1ebd v\u1edbi nhau. Vi\u1ec7c x\u00e1c \u0111\u1ecbnh \u0111\u00fang c\u00e1c \u0111\u1eb7c \u0111i\u1ec3m n\u00e0y l\u00e0 b\u01b0\u1edbc \u0111\u1ea7u ti\u00ean \u0111\u1ec3 l\u1ef1a ch\u1ecdn c\u00f4ng th\u1ee9c ho\u1eb7c t\u00ednh ch\u1ea5t ph\u00f9 h\u1ee3p khi gi\u1ea3i b\u00e0i.<\/span><\/p>\n<h2><b>2. C\u00e1c lo\u1ea1i Triangle th\u01b0\u1eddng g\u1eb7p trong SAT<\/b><\/h2>\n<p><span style=\"font-weight: 400;\">In <\/span><a href=\"https:\/\/etest.edu.vn\/en\/sat-math\/\"><span style=\"font-weight: 400;\">SAT Math<\/span><\/a><span style=\"font-weight: 400;\">, m\u1ed9t s\u1ed1 d\u1ea1ng tam gi\u00e1c xu\u1ea5t hi\u1ec7n v\u1edbi nh\u1eefng \u0111\u1eb7c \u0111i\u1ec3m v\u00e0 t\u1ef7 l\u1ec7 c\u1ea1nh c\u1ed1 \u0111\u1ecbnh. \u0110\u00e2y l\u00e0 special triangles \u2013 tam gi\u00e1c \u0111\u1eb7c bi\u1ec7t. Vi\u1ec7c nh\u1eadn di\u1ec7n \u0111\u00fang lo\u1ea1i tam gi\u00e1c ngay t\u1eeb \u0111\u1ea7u s\u1ebd gi\u00fap x\u00e1c \u0111\u1ecbnh nhanh c\u00e1c t\u00ednh ch\u1ea5t, c\u00f4ng th\u1ee9c c\u1ea7n d\u00f9ng v\u00e0 ti\u1ebft ki\u1ec7m \u0111\u00e1ng k\u1ec3 th\u1eddi gian l\u00e0m b\u00e0i.<\/span><\/p>\n<h3><b>2.1. <\/b><b>Equilateral Triangle &#8211; <\/b><b>Tam gi\u00e1c \u0111\u1ec1u<\/b><\/h3>\n<p><b>Tam gi\u00e1c \u0111\u1ec1u<\/b><span style=\"font-weight: 400;\"> l\u00e0 tam gi\u00e1c c\u00f3 <\/span><b>ba c\u1ea1nh b\u1eb1ng nhau v\u00e0 ba g\u00f3c b\u1eb1ng nhau<\/b><span style=\"font-weight: 400;\">. M\u1ed7i g\u00f3c c\u1ee7a tam gi\u00e1c \u0111\u1ec1u <\/span><b>c\u00f3 s\u1ed1 \u0111o b\u1eb1ng 60\u00b0<\/b><span style=\"font-weight: 400;\"> (v\u00ec 180\u00b0 \u00f7 3 = 60\u00b0)<\/span><\/p>\n<p><img decoding=\"async\" class=\"aligncenter size-full wp-image-33977\" src=\"https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/triangle-tam-giac-trong-bai-thi-sat-4.png\" alt=\"Equilateral Triangle - Tam gi\u00e1c \u0111\u1ec1u\" width=\"718\" height=\"779\" srcset=\"https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/triangle-tam-giac-trong-bai-thi-sat-4.png 718w, https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/triangle-tam-giac-trong-bai-thi-sat-4-369x400.png 369w, https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/triangle-tam-giac-trong-bai-thi-sat-4-11x12.png 11w\" sizes=\"(max-width: 718px) 100vw, 718px\" \/><\/p>\n<p><b>B\u1ea3n d\u1ecbch \u0111\u1ec1 b\u00e0i:<\/b><\/p>\n<p><span style=\"font-weight: 400;\">Trong h\u00ecnh tr\u00ean, tam gi\u00e1c ABC n\u1ed9i ti\u1ebfp \u0111\u01b0\u1eddng tr\u00f2n t\u00e2m O c\u00f3 \u0111\u01b0\u1eddng k\u00ednh AC. N\u1ebfu <\/span><span style=\"font-weight: 400;\">AB = AO<\/span><span style=\"font-weight: 400;\">, s\u1ed1 \u0111o g\u00f3c \u2220ABO b\u1eb1ng bao nhi\u00eau?<\/span><\/p>\n<p><b>L\u1eddi gi\u1ea3i:\u00a0<\/b><\/p>\n<p><span style=\"font-weight: 400;\">\u0110\u1ec1 b\u00e0i cho bi\u1ebft <\/span><span style=\"font-weight: 400;\">AB = AO<\/span><span style=\"font-weight: 400;\">. V\u00ec O l\u00e0 t\u00e2m \u0111\u01b0\u1eddng tr\u00f2n n\u00ean <\/span><span style=\"font-weight: 400;\">AO<\/span><span style=\"font-weight: 400;\"> and <\/span><span style=\"font-weight: 400;\">OB<\/span><span style=\"font-weight: 400;\"> \u0111\u1ec1u l\u00e0 b\u00e1n k\u00ednh c\u1ee7a c\u00f9ng m\u1ed9t \u0111\u01b0\u1eddng tr\u00f2n, do \u0111\u00f3:<\/span><\/p>\n<p><span style=\"font-weight: 400;\">AO = OB<\/span><\/p>\n<p><span style=\"font-weight: 400;\">K\u1ebft h\u1ee3p v\u1edbi <\/span><span style=\"font-weight: 400;\">AB = AO<\/span><span style=\"font-weight: 400;\">, ta c\u00f3:<\/span><\/p>\n<p><span style=\"font-weight: 400;\">AB = AO = OB<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Nh\u01b0 v\u1eady, tam gi\u00e1c AOB c\u00f3 <\/span><b>ba c\u1ea1nh b\u1eb1ng nhau<\/b><span style=\"font-weight: 400;\">, t\u1ee9c l\u00e0 m\u1ed9t tam gi\u00e1c \u0111\u1ec1u.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">M\u1ed7i g\u00f3c c\u1ee7a tam gi\u00e1c \u0111\u1ec1u b\u1eb1ng 60\u00b0, n\u00ean:<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u2220ABO = 60\u00b0<\/span><\/p>\n<p><b>\u0110\u00e1p \u00e1n: D. 60\u00b0<\/b><\/p>\n<h3><b>2.2. Isosceles triangle<\/b><b> &#8211; <\/b><b>Tam gi\u00e1c c\u00e2n<\/b><\/h3>\n<p><b>Tam gi\u00e1c c\u00e2n<\/b><span style=\"font-weight: 400;\"> l\u00e0 tam gi\u00e1c c\u00f3 <\/span><b>hai c\u1ea1nh b\u1eb1ng nhau v\u00e0 hai g\u00f3c \u0111\u1ed1i di\u1ec7n v\u1edbi hai c\u1ea1nh \u0111\u00f3 c\u0169ng b\u1eb1ng nhau<\/b><span style=\"font-weight: 400;\">.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u0110\u00e2y l\u00e0 m\u1ed9t t\u00ednh ch\u1ea5t r\u1ea5t quan tr\u1ecdng khi l\u00e0m SAT Math:<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Hai c\u1ea1nh b\u1eb1ng nhau \u2192 hai g\u00f3c \u0111\u1ed1i di\u1ec7n b\u1eb1ng nhau.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Ng\u01b0\u1ee3c l\u1ea1i:<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Hai g\u00f3c b\u1eb1ng nhau \u2192 hai c\u1ea1nh \u0111\u1ed1i di\u1ec7n b\u1eb1ng nhau.<\/span><\/p>\n<p><img decoding=\"async\" class=\"aligncenter size-full wp-image-33989\" src=\"https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/triangle-tam-giac-trong-bai-thi-sat-16.png\" alt=\"Isosceles triangle - Tam gi\u00e1c c\u00e2n\" width=\"711\" height=\"530\" srcset=\"https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/triangle-tam-giac-trong-bai-thi-sat-16.png 711w, https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/triangle-tam-giac-trong-bai-thi-sat-16-537x400.png 537w, https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/triangle-tam-giac-trong-bai-thi-sat-16-16x12.png 16w\" sizes=\"(max-width: 711px) 100vw, 711px\" \/><\/p>\n<p><b>L\u1eddi gi\u1ea3i:\u00a0<\/b><\/p>\n<p><span style=\"font-weight: 400;\">\u0110\u1ec1 b\u00e0i cho <\/span><span style=\"font-weight: 400;\">180 \u2212 z = 2y<\/span><span style=\"font-weight: 400;\"> and <\/span><span style=\"font-weight: 400;\">y = 75<\/span><span style=\"font-weight: 400;\">, n\u00ean:<\/span><\/p>\n<p><span style=\"font-weight: 400;\">180 \u2212 z = 2 \u00d7 75<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Suy ra <\/span><span style=\"font-weight: 400;\">z = 30\u00b0<\/span><span style=\"font-weight: 400;\">.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">V\u00ec tam gi\u00e1c b\u00ean ph\u1ea3i l\u00e0 tam gi\u00e1c c\u00e2n n\u00ean hai g\u00f3c \u1edf \u0111\u00e1y b\u1eb1ng nhau. M\u1ed7i g\u00f3c c\u00f3 s\u1ed1 \u0111o:<\/span><\/p>\n<p><span style=\"font-weight: 400;\">(180 \u2212 30) \/ 2 = 75\u00b0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Do \u0111\u00f3:<\/span><\/p>\n<p><span style=\"font-weight: 400;\">x = 180\u00b0 \u2212 75\u00b0 = 105\u00b0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u2192 <\/span><b>x = 105\u00b0<\/b><span style=\"font-weight: 400;\">.<\/span><\/p>\n<h3><b>2.3. Right Triangle &#8211; Tam gi\u00e1c vu\u00f4ng<\/b><\/h3>\n<p><b>Tam gi\u00e1c vu\u00f4ng<\/b><span style=\"font-weight: 400;\"> l\u00e0 tam gi\u00e1c c\u00f3 m\u1ed9t g\u00f3c b\u1eb1ng <\/span><b>90\u00b0<\/b><span style=\"font-weight: 400;\">.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">V\u00ec t\u1ed5ng ba g\u00f3c trong m\u1ed9t tam gi\u00e1c lu\u00f4n b\u1eb1ng 180\u00b0, hai g\u00f3c c\u00f2n l\u1ea1i ph\u1ea3i c\u00f3 t\u1ed5ng b\u1eb1ng 90\u00b0.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">V\u00ed d\u1ee5, n\u1ebfu m\u1ed9t g\u00f3c c\u1ee7a tam gi\u00e1c vu\u00f4ng b\u1eb1ng 30\u00b0 th\u00ec g\u00f3c c\u00f2n l\u1ea1i s\u1ebd l\u00e0:<\/span><\/p>\n<p><span style=\"font-weight: 400;\">90\u00b0 \u2212 30\u00b0 = 60\u00b0<\/span><\/p>\n<p><img decoding=\"async\" class=\"aligncenter size-full wp-image-33980\" src=\"https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/triangle-tam-giac-trong-bai-thi-sat-7.png\" alt=\"Right Triangle - Tam gi\u00e1c vu\u00f4ng\" width=\"209\" height=\"211\" srcset=\"https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/triangle-tam-giac-trong-bai-thi-sat-7.png 209w, https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/triangle-tam-giac-trong-bai-thi-sat-7-12x12.png 12w\" sizes=\"(max-width: 209px) 100vw, 209px\" \/><\/p>\n<p><span style=\"font-weight: 400;\">\u0110\u00e2y l\u00e0 nh\u00f3m tam gi\u00e1c \u0111\u1eb7c bi\u1ec7t v\u00ec c\u00f3 th\u1ec3 \u00e1p d\u1ee5ng \u0110\u1ecbnh l\u00fd Pythagore:<\/span><\/p>\n<p><img decoding=\"async\" class=\"aligncenter size-full wp-image-33978\" src=\"https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/triangle-tam-giac-trong-bai-thi-sat-5.png\" alt=\"\u00e1p d\u1ee5ng \u0110\u1ecbnh l\u00fd Pythagore\" width=\"131\" height=\"45\" srcset=\"https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/triangle-tam-giac-trong-bai-thi-sat-5.png 131w, https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/triangle-tam-giac-trong-bai-thi-sat-5-18x6.png 18w\" sizes=\"(max-width: 131px) 100vw, 131px\" \/><\/p>\n<p><span style=\"font-weight: 400;\">Trong \u0111\u00f3 <\/span><b>c<\/b><span style=\"font-weight: 400;\"> l\u00e0 c\u1ea1nh huy\u1ec1n \u2013 c\u1ea1nh \u0111\u1ed1i di\u1ec7n g\u00f3c 90\u00b0.<\/span><\/p>\n<p><img decoding=\"async\" class=\"aligncenter size-full wp-image-33979\" src=\"https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/triangle-tam-giac-trong-bai-thi-sat-6.png\" alt=\"Right Triangle - Tam gi\u00e1c vu\u00f4ng\" width=\"433\" height=\"325\" srcset=\"https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/triangle-tam-giac-trong-bai-thi-sat-6.png 433w, https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/triangle-tam-giac-trong-bai-thi-sat-6-16x12.png 16w\" sizes=\"(max-width: 433px) 100vw, 433px\" \/><\/p>\n<p><span style=\"font-weight: 400;\">M\u1ed9t s\u1ed1 tam gi\u00e1c vu\u00f4ng \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 <\/span><b>tam gi\u00e1c vu\u00f4ng \u0111\u1eb7c bi\u1ec7t<\/b><span style=\"font-weight: 400;\"> v\u00ec ch\u00fang c\u00f3 nh\u1eefng g\u00f3c ho\u1eb7c \u0111\u1ed9 d\u00e0i c\u1ea1nh tu\u00e2n theo c\u00e1c quy lu\u1eadt c\u1ed1 \u0111\u1ecbnh. Vi\u1ec7c ghi nh\u1edb nh\u1eefng quy lu\u1eadt n\u00e0y r\u1ea5t h\u1eefu \u00edch trong SAT Math. Thay v\u00ec ph\u1ea3i t\u00ednh to\u00e1n t\u1eeb \u0111\u1ea7u, b\u1ea1n c\u00f3 th\u1ec3 nh\u1eadn di\u1ec7n d\u1ea1ng tam gi\u00e1c v\u00e0 \u00e1p d\u1ee5ng ngay t\u1ef7 l\u1ec7 t\u01b0\u01a1ng \u1ee9ng.<\/span><\/p>\n<h4><span style=\"font-weight: 400;\">2.3.1. Isosceles Right Triangle &#8211; Tam gi\u00e1c vu\u00f4ng c\u00e2n<\/span><\/h4>\n<p><span style=\"font-weight: 400;\">Tam gi\u00e1c vu\u00f4ng c\u00e2n v\u1eeba l\u00e0 <\/span><b>tam gi\u00e1c vu\u00f4ng<\/b><span style=\"font-weight: 400;\">, v\u1eeba l\u00e0 <\/span><b>tam gi\u00e1c c\u00e2n<\/b><span style=\"font-weight: 400;\">.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Do \u0111\u00f3, n\u00f3 c\u00f3:<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">M\u1ed9t g\u00f3c 90\u00b0<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Hai g\u00f3c c\u00f2n l\u1ea1i b\u1eb1ng nhau<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Hai g\u00f3c c\u00f2n l\u1ea1i \u0111\u1ec1u b\u1eb1ng 45\u00b0<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">\u2192 Tam gi\u00e1c vu\u00f4ng c\u00e2n lu\u00f4n c\u00f3 d\u1ea1ng g\u00f3c <\/span><b>45\u00b0\u2013 45\u00b0\u2013 90\u00b0<\/b><\/p>\n<p><img decoding=\"async\" class=\"aligncenter size-full wp-image-33982\" src=\"https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/triangle-tam-giac-trong-bai-thi-sat-9.png\" alt=\"Isosceles Right Triangle - Tam gi\u00e1c vu\u00f4ng c\u00e2n\" width=\"253\" height=\"241\" srcset=\"https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/triangle-tam-giac-trong-bai-thi-sat-9.png 253w, https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/triangle-tam-giac-trong-bai-thi-sat-9-13x12.png 13w\" sizes=\"(max-width: 253px) 100vw, 253px\" \/><\/p>\n<h3><b>2.3.2. Tam gi\u00e1c 30-60-90 (30-60-90 Triangle)<\/b><\/h3>\n<p><b>Tam gi\u00e1c 30-60-90<\/b><span style=\"font-weight: 400;\"> l\u00e0 m\u1ed9t d\u1ea1ng tam gi\u00e1c vu\u00f4ng \u0111\u1eb7c bi\u1ec7t c\u00f3 ba g\u00f3c: <\/span><b>30\u00b0 \u2013 60\u00b0 \u2013 90\u00b0<\/b><\/p>\n<p><span style=\"font-weight: 400;\">Tam gi\u00e1c n\u00e0y c\u0169ng c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c h\u00ecnh dung nh\u01b0 <\/span><b>m\u1ed9t n\u1eeda c\u1ee7a tam gi\u00e1c \u0111\u1ec1u<\/b><span style=\"font-weight: 400;\">. Khi chia m\u1ed9t tam gi\u00e1c \u0111\u1ec1u theo \u0111\u01b0\u1eddng cao, ta thu \u0111\u01b0\u1ee3c hai tam gi\u00e1c 30-60-90.<\/span><\/p>\n<p><img decoding=\"async\" class=\"aligncenter size-full wp-image-33975\" src=\"https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/triangle-tam-giac-trong-bai-thi-sat-2.png\" alt=\"Tam gi\u00e1c 30-60-90 (30-60-90 Triangle)\" width=\"425\" height=\"192\" srcset=\"https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/triangle-tam-giac-trong-bai-thi-sat-2.png 425w, https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/triangle-tam-giac-trong-bai-thi-sat-2-18x8.png 18w\" sizes=\"(max-width: 425px) 100vw, 425px\" \/><\/p>\n<h3><b>2.3.3. Tam gi\u00e1c 3-4-5 v\u00e0 5-12-13<\/b><\/h3>\n<p><b>3-4-5<\/b><span style=\"font-weight: 400;\"> and <\/span><b>5-12-13<\/b><span style=\"font-weight: 400;\"> l\u00e0 nh\u1eefng tam gi\u00e1c vu\u00f4ng \u0111\u1eb7c bi\u1ec7t \u0111\u01b0\u1ee3c nh\u1eadn di\u1ec7n d\u1ef1a tr\u00ean \u0111\u1ed9 d\u00e0i ba c\u1ea1nh.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">V\u00ed d\u1ee5, n\u1ebfu m\u1ed9t tam gi\u00e1c vu\u00f4ng c\u00f3:<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">M\u1ed9t c\u1ea1nh g\u00f3c vu\u00f4ng d\u00e0i 4<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">C\u1ea1nh huy\u1ec1n d\u00e0i 5<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">th\u00ec b\u1ea1n c\u00f3 th\u1ec3 ngay l\u1eadp t\u1ee9c suy ra c\u1ea1nh g\u00f3c vu\u00f4ng c\u00f2n l\u1ea1i d\u00e0i <\/span><b>3<\/b><span style=\"font-weight: 400;\">.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">B\u1ea1n c\u0169ng kh\u00f4ng c\u1ea7n gi\u1edbi h\u1ea1n \u1edf \u0111\u00fang ba s\u1ed1 n\u00e0y. M\u1ecdi <\/span><b>b\u1ed9i s\u1ed1 t\u01b0\u01a1ng \u1ee9ng<\/b><span style=\"font-weight: 400;\"> \u0111\u1ec1u gi\u1eef nguy\u00ean t\u1ef7 l\u1ec7:<\/span><\/p>\n<p><span style=\"font-weight: 400;\">3-4-5<\/span><\/p>\n<p><span style=\"font-weight: 400;\">6-8-10<\/span><\/p>\n<p><span style=\"font-weight: 400;\">9-12-15<\/span><\/p>\n<p><span style=\"font-weight: 400;\">v\u00e0 ti\u1ebfp t\u1ee5c nh\u01b0 v\u1eady.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Nh\u1eefng tam gi\u00e1c n\u00e0y \u0111\u1eb7c bi\u1ec7t v\u00ec c\u1ea3 ba c\u1ea1nh \u0111\u1ec1u c\u00f3 \u0111\u1ed9 d\u00e0i l\u00e0 s\u1ed1 nguy\u00ean.<\/span><\/p>\n<p><img decoding=\"async\" class=\"aligncenter size-full wp-image-33991\" src=\"https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/triangle-tam-giac-trong-bai-thi-sat-18.png\" alt=\"Tam gi\u00e1c 3-4-5 v\u00e0 5-12-13\" width=\"610\" height=\"234\" srcset=\"https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/triangle-tam-giac-trong-bai-thi-sat-18.png 610w, https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/triangle-tam-giac-trong-bai-thi-sat-18-18x7.png 18w\" sizes=\"(max-width: 610px) 100vw, 610px\" \/><\/p>\n<h2><b>3. C\u00e1c c\u00f4ng th\u1ee9c Triangle c\u1ea7n nh\u1edb trong SAT<\/b><\/h2>\n<h3><b>3.1. Di\u1ec7n t\u00edch<\/b><\/h3>\n<p><span style=\"font-weight: 400;\">A = 1\/2 bh<\/span><\/p>\n<p><img decoding=\"async\" class=\"aligncenter size-full wp-image-33992\" src=\"https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/triangle-tam-giac-trong-bai-thi-sat-19.png\" alt=\"Di\u1ec7n t\u00edch\" width=\"571\" height=\"252\" srcset=\"https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/triangle-tam-giac-trong-bai-thi-sat-19.png 571w, https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/triangle-tam-giac-trong-bai-thi-sat-19-18x8.png 18w\" sizes=\"(max-width: 571px) 100vw, 571px\" \/><\/p>\n<p><span style=\"font-weight: 400;\">In there:<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">b<\/span><span style=\"font-weight: 400;\"> (<\/span><b>base<\/b><span style=\"font-weight: 400;\">) l\u00e0 \u0111\u1ed9 d\u00e0i \u0111\u00e1y.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">h<\/span><span style=\"font-weight: 400;\"> (<\/span><b>height<\/b><span style=\"font-weight: 400;\">) l\u00e0 chi\u1ec1u cao, \u0111\u01b0\u1ee3c x\u00e1c \u0111\u1ecbnh b\u1eb1ng \u0111o\u1ea1n th\u1eb3ng vu\u00f4ng g\u00f3c v\u1edbi \u0111\u00e1y.<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">\u0110i\u1ec3m c\u1ea7n l\u01b0u \u00fd: <\/span><b>chi\u1ec1u cao ph\u1ea3i vu\u00f4ng g\u00f3c v\u1edbi \u0111\u00e1y<\/b><span style=\"font-weight: 400;\">.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">V\u1edbi tam gi\u00e1c vu\u00f4ng, m\u1ed9t c\u1ea1nh g\u00f3c vu\u00f4ng c\u00f3 th\u1ec3 \u0111\u00f3ng vai tr\u00f2 l\u00e0 chi\u1ec1u cao. V\u1edbi tam gi\u00e1c kh\u00f4ng vu\u00f4ng, b\u1ea1n c\u00f3 th\u1ec3 c\u1ea7n k\u1ebb th\u00eam m\u1ed9t \u0111\u01b0\u1eddng cao \u0111\u1ec3 x\u00e1c \u0111\u1ecbnh <\/span><span style=\"font-weight: 400;\">h<\/span><span style=\"font-weight: 400;\">.<\/span><\/p>\n<h3><b>3.2. Chu vi<\/b><\/h3>\n<p><span style=\"font-weight: 400;\">P = l\u2081 + l\u2082 + l\u2083<\/span><\/p>\n<p><img decoding=\"async\" class=\"aligncenter size-full wp-image-33988\" src=\"https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/triangle-tam-giac-trong-bai-thi-sat-15.png\" alt=\"Chu vi\" width=\"268\" height=\"305\" srcset=\"https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/triangle-tam-giac-trong-bai-thi-sat-15.png 268w, https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/triangle-tam-giac-trong-bai-thi-sat-15-11x12.png 11w\" sizes=\"(max-width: 268px) 100vw, 268px\" \/><\/p>\n<p><span style=\"font-weight: 400;\">Chu vi c\u1ee7a tam gi\u00e1c \u0111\u01a1n gi\u1ea3n l\u00e0 <\/span><b>t\u1ed5ng \u0111\u1ed9 d\u00e0i ba c\u1ea1nh<\/b><span style=\"font-weight: 400;\">.<\/span><\/p>\n<h3><b>3.3. \u0110\u1ecbnh l\u00fd Pythagore (\u00e1p d\u1ee5ng \u0111\u1ed1i v\u1edbi tam gi\u00e1c vu\u00f4ng)<\/b><\/h3>\n<p><span style=\"font-weight: 400;\">V\u1edbi tam gi\u00e1c vu\u00f4ng:\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Trong \u0111\u00f3 <\/span><span style=\"font-weight: 400;\">a<\/span><span style=\"font-weight: 400;\"> and <\/span><span style=\"font-weight: 400;\">b<\/span><span style=\"font-weight: 400;\"> l\u00e0 hai c\u1ea1nh g\u00f3c vu\u00f4ng.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u00a0\u00a0c<\/span><span style=\"font-weight: 400;\"> To be <\/span><b>c\u1ea1nh huy\u1ec1n (hypotenuse)<\/b><span style=\"font-weight: 400;\">, t\u1ee9c c\u1ea1nh \u0111\u1ed1i di\u1ec7n g\u00f3c 90\u00b0.<\/span><\/p>\n<p><img decoding=\"async\" class=\"aligncenter size-full wp-image-33979\" src=\"https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/triangle-tam-giac-trong-bai-thi-sat-6.png\" alt=\"Right Triangle - Tam gi\u00e1c vu\u00f4ng\" width=\"433\" height=\"325\" srcset=\"https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/triangle-tam-giac-trong-bai-thi-sat-6.png 433w, https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/triangle-tam-giac-trong-bai-thi-sat-6-16x12.png 16w\" sizes=\"(max-width: 433px) 100vw, 433px\" \/><\/p>\n<h3><b>3.4. Tam gi\u00e1c vu\u00f4ng c\u00e2n: T\u1ef7 l\u1ec7 c\u1ea1nh (\u00e1p d\u1ee5ng \u0111\u1ed1i v\u1edbi tam gi\u00e1c vu\u00f4ng)<\/b><\/h3>\n<p><span style=\"font-weight: 400;\">V\u1edbi tam gi\u00e1c <\/span><b>45\u00b0-45\u00b0-90\u00b0<\/b><span style=\"font-weight: 400;\">, t\u1ef7 l\u1ec7 ba c\u1ea1nh l\u00e0: x, x, x\u221a2<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Hai c\u1ea1nh g\u00f3c vu\u00f4ng b\u1eb1ng nhau v\u00e0 \u0111\u1ec1u c\u00f3 \u0111\u1ed9 d\u00e0i <\/span><span style=\"font-weight: 400;\">x<\/span><span style=\"font-weight: 400;\">, trong khi c\u1ea1nh huy\u1ec1n c\u00f3 \u0111\u1ed9 d\u00e0i: x\u221a2<\/span><\/p>\n<p><img decoding=\"async\" class=\"aligncenter size-full wp-image-33985\" src=\"https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/triangle-tam-giac-trong-bai-thi-sat-12.png\" alt=\"Tam gi\u00e1c vu\u00f4ng c\u00e2n: T\u1ef7 l\u1ec7 c\u1ea1nh\" width=\"300\" height=\"423\" srcset=\"https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/triangle-tam-giac-trong-bai-thi-sat-12.png 300w, https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/triangle-tam-giac-trong-bai-thi-sat-12-284x400.png 284w, https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/triangle-tam-giac-trong-bai-thi-sat-12-9x12.png 9w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p><span style=\"font-weight: 400;\">Thay v\u00ec s\u1eed d\u1ee5ng \u0111\u1ecbnh l\u00fd Pythagore m\u1ed7i l\u1ea7n, b\u1ea1n c\u00f3 th\u1ec3 \u00e1p d\u1ee5ng tr\u1ef1c ti\u1ebfp t\u1ef7 l\u1ec7 n\u00e0y.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">For example<\/span><\/p>\n<p><span style=\"font-weight: 400;\">N\u1ebfu m\u1ed9t tam gi\u00e1c vu\u00f4ng c\u00e2n c\u00f3 hai c\u1ea1nh g\u00f3c vu\u00f4ng \u0111\u1ec1u b\u1eb1ng 6:<\/span><\/p>\n<p><span style=\"font-weight: 400;\">6\u00b2 + 6\u00b2 = c\u00b2<\/span><\/p>\n<p><span style=\"font-weight: 400;\">36 + 36 = c\u00b2<\/span><\/p>\n<p><span style=\"font-weight: 400;\">72 = c\u00b2<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Do \u0111\u00f3:<\/span><\/p>\n<p><span style=\"font-weight: 400;\">c = \u221a72 = 6\u221a2<\/span><\/p>\n<p><span style=\"font-weight: 400;\">V\u1eady ba c\u1ea1nh l\u00e0:<\/span><\/p>\n<p><span style=\"font-weight: 400;\">6, 6 v\u00e0 6\u221a2<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u2192 \u0110\u00e2y ch\u00ednh l\u00e0 d\u1ea1ng t\u1ed5ng qu\u00e1t: x, x, x\u221a2<\/span><\/p>\n<h3><b>3.5. Tam gi\u00e1c 30-60-90: T\u1ef7 l\u1ec7 c\u1ea1nh<\/b><\/h3>\n<p><span style=\"font-weight: 400;\">V\u1edbi tam gi\u00e1c <\/span><b>30\u00b0-60\u00b0-90\u00b0<\/b><span style=\"font-weight: 400;\">, t\u1ef7 l\u1ec7 ba c\u1ea1nh l\u00e0: <\/span><span style=\"font-weight: 400;\">x, x\u221a3, 2x<\/span><\/p>\n<p><span style=\"font-weight: 400;\">In there:<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">x<\/span><span style=\"font-weight: 400;\">: c\u1ea1nh \u0111\u1ed1i di\u1ec7n g\u00f3c <\/span><b>30\u00b0<\/b><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">x\u221a3<\/span><span style=\"font-weight: 400;\">: c\u1ea1nh \u0111\u1ed1i di\u1ec7n g\u00f3c <\/span><b>60\u00b0<\/b><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">2x<\/span><span style=\"font-weight: 400;\">: c\u1ea1nh \u0111\u1ed1i di\u1ec7n g\u00f3c <\/span><b>90\u00b0<\/b><span style=\"font-weight: 400;\">, t\u1ee9c <\/span><b>c\u1ea1nh huy\u1ec1n<\/b><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">\u0110\u00e2y l\u00e0 m\u1ed9t trong nh\u1eefng t\u1ef7 l\u1ec7 quan tr\u1ecdng c\u1ea7n nh\u1eadn di\u1ec7n nhanh khi l\u00e0m SAT Math.<\/span><\/p>\n<p><img decoding=\"async\" class=\"aligncenter size-full wp-image-33976\" src=\"https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/triangle-tam-giac-trong-bai-thi-sat-3.png\" alt=\"Tam gi\u00e1c 30-60-90: T\u1ef7 l\u1ec7 c\u1ea1nh\" width=\"407\" height=\"203\" srcset=\"https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/triangle-tam-giac-trong-bai-thi-sat-3.png 407w, https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/triangle-tam-giac-trong-bai-thi-sat-3-18x9.png 18w\" sizes=\"(max-width: 407px) 100vw, 407px\" \/><\/p>\n<h2><b>4. C\u00e1c d\u1ea1ng b\u00e0i Triangle th\u01b0\u1eddng g\u1eb7p trong SAT<\/b><\/h2>\n<p><span style=\"font-weight: 400;\">C\u00e1c b\u00e0i to\u00e1n v\u1ec1 tam gi\u00e1c trong SAT c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c chia th\u00e0nh m\u1ed9t s\u1ed1 d\u1ea1ng ch\u00ednh. Vi\u1ec7c x\u00e1c \u0111\u1ecbnh d\u1ea1ng b\u00e0i tr\u01b0\u1edbc khi t\u00ednh to\u00e1n s\u1ebd gi\u00fap b\u1ea1n ch\u1ecdn c\u00e1ch gi\u1ea3i hi\u1ec7u qu\u1ea3 h\u01a1n.\u00a0<\/span><\/p>\n<h3><b>D\u1ea1ng 1: T\u00ecm gi\u00e1 tr\u1ecb c\u00f2n thi\u1ebfu (Finding Missing Values)<\/b><\/h3>\n<p><span style=\"font-weight: 400;\">\u0110\u00e2y l\u00e0 d\u1ea1ng b\u00e0i r\u1ea5t ph\u1ed5 bi\u1ebfn. \u0110\u1ec1 b\u00e0i c\u00f3 th\u1ec3 y\u00eau c\u1ea7u b\u1ea1n t\u00ecm:<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">G\u00f3c ch\u01b0a bi\u1ebft<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">\u0110\u1ed9 d\u00e0i c\u1ea1nh<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Di\u1ec7n t\u00edch<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Chu vi<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Ho\u1eb7c m\u1ed9t \u0111\u1ea1i l\u01b0\u1ee3ng kh\u00e1c<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">SAT th\u01b0\u1eddng cung c\u1ea5p \u0111\u1ee7 d\u1eef ki\u1ec7n \u0111\u1ec3 gi\u1ea3i b\u00e0i. Th\u00e1ch th\u1ee9c n\u1eb1m \u1edf vi\u1ec7c k\u1ebft n\u1ed1i c\u00e1c th\u00f4ng tin \u0111\u01b0\u1ee3c cho \u0111\u1ec3 t\u00ecm ra d\u1eef ki\u1ec7n trung gian c\u1ea7n thi\u1ebft.<\/span><\/p>\n<p><img decoding=\"async\" class=\"aligncenter size-full wp-image-33984\" src=\"https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/triangle-tam-giac-trong-bai-thi-sat-11.png\" alt=\"T\u00ecm gi\u00e1 tr\u1ecb c\u00f2n thi\u1ebfu (Finding Missing Values)\" width=\"716\" height=\"642\" srcset=\"https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/triangle-tam-giac-trong-bai-thi-sat-11.png 716w, https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/triangle-tam-giac-trong-bai-thi-sat-11-446x400.png 446w, https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/triangle-tam-giac-trong-bai-thi-sat-11-13x12.png 13w\" sizes=\"(max-width: 716px) 100vw, 716px\" \/><\/p>\n<p><span style=\"font-weight: 400;\">Trong h\u00ecnh tr\u00ean, \u0111\u01b0\u1eddng th\u1eb3ng <\/span><i><span style=\"font-weight: 400;\">m<\/span><\/i><span style=\"font-weight: 400;\"> song song v\u1edbi \u0111\u01b0\u1eddng th\u1eb3ng <\/span><i><span style=\"font-weight: 400;\">n<\/span><\/i><span style=\"font-weight: 400;\">, \u0111\u01b0\u1eddng th\u1eb3ng <\/span><i><span style=\"font-weight: 400;\">d<\/span><\/i><span style=\"font-weight: 400;\"> vu\u00f4ng g\u00f3c v\u1edbi <\/span><i><span style=\"font-weight: 400;\">n<\/span><\/i><span style=\"font-weight: 400;\">, v\u00e0 \u0111\u01b0\u1eddng th\u1eb3ng <\/span><i><span style=\"font-weight: 400;\">e<\/span><\/i><span style=\"font-weight: 400;\"> c\u1eaft c\u1ea3 <\/span><i><span style=\"font-weight: 400;\">m<\/span><\/i><span style=\"font-weight: 400;\"> and <\/span><i><span style=\"font-weight: 400;\">n<\/span><\/i><span style=\"font-weight: 400;\">. \u0110\u1ed9 d\u00e0i c\u1ee7a <\/span><span style=\"font-weight: 400;\">x<\/span><span style=\"font-weight: 400;\"> b\u1eb1ng bao nhi\u00eau?<\/span><\/p>\n<p><b>Gi\u1ea3i th\u00edch:<\/b><\/p>\n<p><span style=\"font-weight: 400;\">V\u00ec hai \u0111\u01b0\u1eddng th\u1eb3ng c\u1eaft nhau t\u1ea1i C n\u00ean \u2220ACB v\u00e0 \u2220DCE l\u00e0 <\/span><b>g\u00f3c \u0111\u1ed1i \u0111\u1ec9nh<\/b><span style=\"font-weight: 400;\">, do \u0111\u00f3 ch\u00fang b\u1eb1ng nhau.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Because <\/span><span style=\"font-weight: 400;\">m \u2225 n<\/span><span style=\"font-weight: 400;\">, \u2220DEC v\u00e0 \u2220CAB l\u00e0 <\/span><b>hai g\u00f3c so le trong<\/b><span style=\"font-weight: 400;\">, n\u00ean ch\u00fang c\u0169ng b\u1eb1ng nhau.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">T\u1eeb \u0111\u00f3, hai tam gi\u00e1c ABC v\u00e0 EDC <\/span><b>\u0111\u1ed3ng d\u1ea1ng theo ti\u00eau ch\u00ed g\u00f3c-g\u00f3c (AA)<\/b><span style=\"font-weight: 400;\">.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Tam gi\u00e1c EDC l\u00e0 tam gi\u00e1c vu\u00f4ng. D\u1ef1a v\u00e0o \u0111\u1ecbnh l\u00fd Pythagore ho\u1eb7c nh\u1eadn di\u1ec7n tam gi\u00e1c 3-4-5, ta c\u00f3 c\u1ea1nh huy\u1ec1n b\u1eb1ng 5.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Do hai tam gi\u00e1c \u0111\u1ed3ng d\u1ea1ng n\u00ean t\u1ef7 l\u1ec7 c\u00e1c c\u1ea1nh t\u01b0\u01a1ng \u1ee9ng b\u1eb1ng nhau:<\/span><\/p>\n<p><span style=\"font-weight: 400;\">CD\/BC = 3\/5 = DE\/AB = 4\/x<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Gi\u1ea3i ra:<\/span><\/p>\n<p><span style=\"font-weight: 400;\">3x = 20<\/span><\/p>\n<p><span style=\"font-weight: 400;\">x = 20\/3<\/span><\/p>\n<h3><b>D\u1ea1ng 2: T\u1ef7 l\u1ec7 v\u00e0 b\u1ea5t \u0111\u1eb3ng th\u1ee9c (Ratios and Inequalities)<\/b><\/h3>\n<p><span style=\"font-weight: 400;\">D\u1ea1ng n\u00e0y th\u01b0\u1eddng y\u00eau c\u1ea7u:<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">T\u00ecm t\u1ef7 l\u1ec7 gi\u1eefa c\u00e1c ph\u1ea7n c\u1ee7a nh\u1eefng tam gi\u00e1c kh\u00e1c nhau.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">X\u00e1c \u0111\u1ecbnh hai c\u1ea1nh ho\u1eb7c hai g\u00f3c c\u00f3 b\u1eb1ng nhau hay kh\u00f4ng.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">So s\u00e1nh \u0111\u1ed9 d\u00e0i ho\u1eb7c s\u1ed1 \u0111o c\u1ee7a c\u00e1c th\u00e0nh ph\u1ea7n trong h\u00ecnh.<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">M\u1ed9t k\u1ef9 n\u0103ng quan tr\u1ecdng \u1edf d\u1ea1ng b\u00e0i n\u00e0y l\u00e0 nh\u1eadn di\u1ec7n <\/span><b>tam gi\u00e1c \u0111\u1ed3ng d\u1ea1ng<\/b><span style=\"font-weight: 400;\">.<\/span><\/p>\n<p><img decoding=\"async\" class=\"aligncenter size-full wp-image-33981\" src=\"https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/triangle-tam-giac-trong-bai-thi-sat-8.png\" alt=\"T\u1ef7 l\u1ec7 v\u00e0 b\u1ea5t \u0111\u1eb3ng th\u1ee9c (Ratios and Inequalities)\" width=\"714\" height=\"616\" srcset=\"https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/triangle-tam-giac-trong-bai-thi-sat-8.png 714w, https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/triangle-tam-giac-trong-bai-thi-sat-8-464x400.png 464w, https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/triangle-tam-giac-trong-bai-thi-sat-8-14x12.png 14w\" sizes=\"(max-width: 714px) 100vw, 714px\" \/><\/p>\n<p><b>Gi\u1ea3i th\u00edch:<\/b><\/p>\n<p><span style=\"font-weight: 400;\">\u2220ABE v\u00e0 \u2220DBC l\u00e0 hai g\u00f3c \u0111\u1ed1i \u0111\u1ec9nh n\u00ean c\u00f3 c\u00f9ng s\u1ed1 \u0111o.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">V\u00ec \u0111o\u1ea1n AE song song v\u1edbi \u0111o\u1ea1n CD n\u00ean g\u00f3c A v\u00e0 g\u00f3c D b\u1eb1ng nhau theo t\u00ednh ch\u1ea5t g\u00f3c so le trong.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Do \u0111\u00f3, hai tam gi\u00e1c ABE v\u00e0 DBC c\u00f3 c\u00e1c g\u00f3c t\u01b0\u01a1ng \u1ee9ng b\u1eb1ng nhau v\u00e0 <\/span><b>\u0111\u1ed3ng d\u1ea1ng<\/b><span style=\"font-weight: 400;\">.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">T\u1eeb \u0111\u00f3, ta c\u00f3 th\u1ec3 thi\u1ebft l\u1eadp t\u1ef7 l\u1ec7 gi\u1eefa c\u00e1c c\u1ea1nh t\u01b0\u01a1ng \u1ee9ng v\u00e0 gi\u1ea3i ra:<\/span><\/p>\n<p><span style=\"font-weight: 400;\">CB = 4<\/span><\/p>\n<p><span style=\"font-weight: 400;\">V\u00ec:<\/span><\/p>\n<p><span style=\"font-weight: 400;\">CE = CB + BE = 4 + 8 = 12<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u2192 <\/span><b>CE = 12<\/b><span style=\"font-weight: 400;\">.<\/span><\/p>\n<h3><b>D\u1ea1ng 3: Nhi\u1ec1u h\u00ecnh ho\u1eb7c h\u00ecnh n\u1eb1m trong h\u00ecnh (Multi-Shape \/ Shapes Within Shapes)\u00a0<\/b><\/h3>\n<p><span style=\"font-weight: 400;\">M\u1ed9t s\u1ed1 c\u00e2u h\u1ecfi SAT k\u1ebft h\u1ee3p <\/span><b>nhi\u1ec1u tam gi\u00e1c ho\u1eb7c nhi\u1ec1u h\u00ecnh h\u1ecdc kh\u00e1c nhau<\/b><span style=\"font-weight: 400;\"> trong c\u00f9ng m\u1ed9t h\u00ecnh.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">M\u1ee5c \u0111\u00edch l\u00e0 ki\u1ec3m tra kh\u1ea3 n\u0103ng b\u1ea1n k\u1ebft n\u1ed1i c\u00e1c ki\u1ebfn th\u1ee9c v\u1ec1:<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">\u0110\u01b0\u1eddng th\u1eb3ng<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">G\u00f3c<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Tam gi\u00e1c<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Tam gi\u00e1c \u0111\u1ed3ng d\u1ea1ng<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">T\u1ef7 l\u1ec7<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">C\u00e1ch ti\u1ebfp c\u1eadn hi\u1ec7u qu\u1ea3 l\u00e0 <\/span><b>kh\u00f4ng c\u1ed1 gi\u1ea3i to\u00e0n b\u1ed9 h\u00ecnh c\u00f9ng l\u00fac<\/b><span style=\"font-weight: 400;\">. Thay v\u00e0o \u0111\u00f3, h\u00e3y t\u00ecm m\u1ed9t th\u00f4ng tin nh\u1ecf tr\u01b0\u1edbc, r\u1ed3i d\u00f9ng n\u00f3 \u0111\u1ec3 t\u00ecm th\u00f4ng tin ti\u1ebfp theo.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">C\u00f3 th\u1ec3 h\u00ecnh dung qu\u00e1 tr\u00ecnh n\u00e0y gi\u1ed1ng nh\u01b0 <\/span><b>hi\u1ec7u \u1ee9ng domino<\/b><span style=\"font-weight: 400;\">: m\u1ed9t d\u1eef ki\u1ec7n d\u1eabn \u0111\u1ebfn d\u1eef ki\u1ec7n ti\u1ebfp theo, r\u1ed3i cu\u1ed1i c\u00f9ng d\u1eabn \u0111\u1ebfn \u0111\u00e1p \u00e1n.<\/span><\/p>\n<p><img decoding=\"async\" class=\"aligncenter size-full wp-image-33990\" src=\"https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/triangle-tam-giac-trong-bai-thi-sat-17.png\" alt=\"Nhi\u1ec1u h\u00ecnh ho\u1eb7c h\u00ecnh n\u1eb1m trong h\u00ecnh (Multi-Shape \/ Shapes Within Shapes)\" width=\"713\" height=\"837\" srcset=\"https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/triangle-tam-giac-trong-bai-thi-sat-17.png 713w, https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/triangle-tam-giac-trong-bai-thi-sat-17-341x400.png 341w, https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/triangle-tam-giac-trong-bai-thi-sat-17-681x800.png 681w, https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/triangle-tam-giac-trong-bai-thi-sat-17-10x12.png 10w\" sizes=\"(max-width: 713px) 100vw, 713px\" \/><\/p>\n<p><b>Gi\u1ea3i th\u00edch:<\/b><\/p>\n<p><span style=\"font-weight: 400;\">Thi\u1ebft l\u1eadp t\u1ef7 l\u1ec7 gi\u1eefa c\u00e1c c\u1ea1nh t\u01b0\u01a1ng \u1ee9ng c\u1ee7a hai tam gi\u00e1c.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">V\u1edbi c\u00e1c gi\u00e1 tr\u1ecb:<\/span><\/p>\n<p><span style=\"font-weight: 400;\">CD = 800<\/span><\/p>\n<p><span style=\"font-weight: 400;\">BD = 700<\/span><\/p>\n<p><span style=\"font-weight: 400;\">EB = 1400<\/span><\/p>\n<p><span style=\"font-weight: 400;\">ta c\u00f3:<\/span><\/p>\n<p><span style=\"font-weight: 400;\">800\/x = 700\/1400<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Suy ra:<\/span><\/p>\n<p><span style=\"font-weight: 400;\">x = (800)(1400)\/700<\/span><\/p>\n<p><span style=\"font-weight: 400;\">x = 1600<\/span><\/p>\n<p><b>\u0110\u00e1p \u00e1n: 1600<\/b><\/p>\n<h3><b>D\u1ea1ng 4: Bi\u1ebfn s\u1ed1 v\u00e0 bi\u1ec3u th\u1ee9c ch\u1ee9a nhi\u1ec1u bi\u1ebfn<\/b><\/h3>\n<p><span style=\"font-weight: 400;\">\u0110\u00e2y th\u01b0\u1eddng l\u00e0 nh\u00f3m b\u00e0i kh\u00f3 h\u01a1n v\u00ec \u0111\u1ec1 b\u00e0i c\u00f3 th\u1ec3 ch\u1ee9a nhi\u1ec1u bi\u1ebfn, \u0111\u1ed3ng th\u1eddi \u0111\u00e1p \u00e1n c\u0169ng \u0111\u01b0\u1ee3c bi\u1ec3u di\u1ec5n b\u1eb1ng bi\u1ebfn.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Nh\u1eefng c\u00e2u h\u1ecfi ki\u1ec3u n\u00e0y th\u01b0\u1eddng xu\u1ea5t hi\u1ec7n \u1edf ph\u1ea7n cu\u1ed1i c\u1ee7a Math section v\u00e0 \u0111\u00f2i h\u1ecfi s\u1ef1 k\u1ebft h\u1ee3p gi\u1eefa h\u00ecnh h\u1ecdc + \u0111\u1ea1i s\u1ed1.<\/span><\/p>\n<p><img decoding=\"async\" class=\"aligncenter size-full wp-image-33986\" src=\"https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/triangle-tam-giac-trong-bai-thi-sat-13.png\" alt=\"Bi\u1ebfn s\u1ed1 v\u00e0 bi\u1ec3u th\u1ee9c ch\u1ee9a nhi\u1ec1u bi\u1ebfn\" width=\"712\" height=\"493\" srcset=\"https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/triangle-tam-giac-trong-bai-thi-sat-13.png 712w, https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/triangle-tam-giac-trong-bai-thi-sat-13-578x400.png 578w, https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/triangle-tam-giac-trong-bai-thi-sat-13-18x12.png 18w\" sizes=\"(max-width: 712px) 100vw, 712px\" \/><\/p>\n<p><b>Gi\u1ea3i th\u00edch:<\/b><\/p>\n<p><span style=\"font-weight: 400;\">V\u00ec m\u1ed7i tam gi\u00e1c c\u00f3 t\u1ed5ng g\u00f3c b\u1eb1ng 180\u00b0, ta c\u00f3 c\u00e1c bi\u1ec3u th\u1ee9c:<\/span><\/p>\n<p><span style=\"font-weight: 400;\">180 \u2212 x \u2212 y<\/span><\/p>\n<p><span style=\"font-weight: 400;\">180 \u2212 x \u2212 y<\/span><\/p>\n<p><span style=\"font-weight: 400;\">180 \u2212 y \u2212 z<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Ba g\u00f3c n\u00e0y n\u1eb1m tr\u00ean m\u1ed9t \u0111\u01b0\u1eddng th\u1eb3ng n\u00ean t\u1ed5ng c\u1ee7a ch\u00fang b\u1eb1ng 180\u00b0:<\/span><\/p>\n<p><span style=\"font-weight: 400;\">(180 \u2212 x \u2212 y) + (180 \u2212 x \u2212 y) + (180 \u2212 y \u2212 z) = 180<\/span><\/p>\n<p><span style=\"font-weight: 400;\">R\u00fat g\u1ecdn:<\/span><\/p>\n<p><span style=\"font-weight: 400;\">540 \u2212 2x \u2212 3y \u2212 z = 180<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u22122x \u2212 3y \u2212 z = \u2212360<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u2212z = \u2212360 + 2x + 3y<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Suy ra:<\/span><\/p>\n<p><span style=\"font-weight: 400;\">z = 360 \u2212 2x \u2212 3y<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u2192 \u0110\u00e1p \u00e1n D.<\/span><\/p>\n<h2><b>5. Chi\u1ebfn l\u01b0\u1ee3c gi\u1ea3i b\u00e0i Triangle trong SAT<\/b><\/h2>\n<p><span style=\"font-weight: 400;\">C\u00e1c c\u00e2u h\u1ecfi v\u1ec1 tam gi\u00e1c c\u00f3 th\u1ec3 xu\u1ea5t hi\u1ec7n d\u01b0\u1edbi nhi\u1ec1u h\u00ecnh th\u1ee9c kh\u00e1c nhau, v\u00ec v\u1eady kh\u00f4ng c\u00f3 m\u1ed9t c\u00f4ng th\u1ee9c hay m\u1ed9t quy tr\u00ecnh duy nh\u1ea5t \u00e1p d\u1ee5ng cho m\u1ecdi c\u00e2u. \u0110i\u1ec1u quan tr\u1ecdng l\u00e0 bi\u1ebft c\u00e1ch nh\u1eadn di\u1ec7n c\u1ea5u tr\u00fac h\u00ecnh v\u00e0 l\u1ef1a ch\u1ecdn c\u00f4ng c\u1ee5 ph\u00f9 h\u1ee3p.<\/span><\/p>\n<h3><b>1. N\u1eafm ch\u1eafc c\u00f4ng th\u1ee9c v\u00e0 t\u1eadn d\u1ee5ng shortcut<\/b><\/h3>\n<p><span style=\"font-weight: 400;\">\u0110\u00e2y l\u00e0 y\u1ebfu t\u1ed1 quan tr\u1ecdng nh\u1ea5t.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">V\u00ed d\u1ee5, n\u1ebfu nh\u1eadn ra m\u1ed9t tam gi\u00e1c l\u00e0 30-60-90, thay v\u00ec d\u00f9ng \u0111\u1ecbnh l\u00fd Pythagore \u0111\u1ec3 t\u00ednh t\u1eebng c\u1ea1nh, b\u1ea1n c\u00f3 th\u1ec3 \u00e1p d\u1ee5ng ngay t\u1ef7 l\u1ec7:<\/span><\/p>\n<p><span style=\"font-weight: 400;\">x, x\u221a3, 2x<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Vi\u1ec7c nh\u1eadn di\u1ec7n nhanh nh\u1eefng d\u1ea1ng tam gi\u00e1c \u0111\u1eb7c bi\u1ec7t s\u1ebd gi\u00fap b\u1ea1n gi\u1ea3m \u0111\u00e1ng k\u1ec3 th\u1eddi gian t\u00ednh to\u00e1n.<\/span><\/p>\n<h3><b>2. V\u1edbi h\u00ecnh ph\u1ee9c t\u1ea1p, chia nh\u1ecf t\u1eebng b\u01b0\u1edbc<\/b><\/h3>\n<p><span style=\"font-weight: 400;\">\u0110\u1eebng c\u1ed1 gi\u1ea3i to\u00e0n b\u1ed9 h\u00ecnh trong m\u1ed9t l\u1ea7n.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">H\u00e3y t\u00ecm: D\u1eef ki\u1ec7n \u2192 th\u00f4ng tin trung gian \u2192 th\u00f4ng tin ti\u1ebfp theo \u2192 \u0111\u00e1p \u00e1n<\/span><\/p>\n<p><span style=\"font-weight: 400;\">M\u1ed7i b\u01b0\u1edbc s\u1ebd cung c\u1ea5p th\u00eam m\u1ed9t m\u1ea3nh gh\u00e9p \u0111\u1ec3 b\u1ea1n ti\u1ebfn g\u1ea7n h\u01a1n \u0111\u1ebfn gi\u00e1 tr\u1ecb c\u1ea7n t\u00ecm.<\/span><\/p>\n<h3><b>3. Ch\u1ee7 \u0111\u1ed9ng v\u1ebd v\u00e0 ghi ch\u00fa l\u00ean h\u00ecnh<\/b><\/h3>\n<p><span style=\"font-weight: 400;\">N\u1ebfu \u0111\u1ec1 kh\u00f4ng cung c\u1ea5p h\u00ecnh, h\u00e3y t\u1ef1 v\u1ebd s\u01a1 \u0111\u1ed3.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">N\u1ebfu \u0111\u1ec1 \u0111\u00e3 c\u00f3 h\u00ecnh, h\u00e3y ghi tr\u1ef1c ti\u1ebfp c\u00e1c d\u1eef ki\u1ec7n l\u00ean h\u00ecnh:<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">\u0110\u1ed9 d\u00e0i c\u1ea1nh<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">S\u1ed1 \u0111o g\u00f3c<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">C\u00e1c c\u1ea1nh b\u1eb1ng nhau<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">C\u00e1c g\u00f3c b\u1eb1ng nhau<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">C\u00e1c \u0111\u01b0\u1eddng song song ho\u1eb7c vu\u00f4ng g\u00f3c<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">M\u1ed9t h\u00ecnh \u0111\u01b0\u1ee3c ch\u00fa th\u00edch r\u00f5 r\u00e0ng s\u1ebd gi\u00fap b\u1ea1n h\u1ea1n ch\u1ebf vi\u1ec7c nh\u1ea7m l\u1eabn d\u1eef ki\u1ec7n ho\u1eb7c b\u1ecf s\u00f3t m\u1ed1i quan h\u1ec7 gi\u1eefa c\u00e1c th\u00e0nh ph\u1ea7n.<\/span><\/p>\n<h3><b>4. Th\u1eed thay s\u1ed1 khi g\u1eb7p qu\u00e1 nhi\u1ec1u bi\u1ebfn<\/b><\/h3>\n<p><span style=\"font-weight: 400;\">N\u1ebfu m\u1ed9t b\u00e0i c\u00f3 qu\u00e1 nhi\u1ec1u bi\u1ebfn v\u00e0 b\u1ea1n c\u1ea3m th\u1ea5y vi\u1ec7c bi\u1ebfn \u0111\u1ed5i \u0111\u1ea1i s\u1ed1 d\u1ec5 g\u00e2y nh\u1ea7m l\u1eabn, plugging in numbers c\u00f3 th\u1ec3 l\u00e0 m\u1ed9t l\u1ef1a ch\u1ecdn nhanh h\u01a1n.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">B\u1ea1n c\u00f3 th\u1ec3 ch\u1ecdn nh\u1eefng gi\u00e1 tr\u1ecb \u0111\u01a1n gi\u1ea3n, ph\u00f9 h\u1ee3p v\u1edbi \u0111i\u1ec1u ki\u1ec7n c\u1ee7a \u0111\u1ec1, t\u00ecm k\u1ebft qu\u1ea3 th\u1ef1c t\u1ebf r\u1ed3i \u0111\u1ed1i chi\u1ebfu v\u1edbi c\u00e1c \u0111\u00e1p \u00e1n.<\/span><\/p>\n<h2><b>6. T\u1ed5ng h\u1ee3p t\u1eeb v\u1ef1ng Triangle th\u01b0\u1eddng g\u1eb7p trong SAT<\/b><\/h2>\n<table>\n<tbody>\n<tr>\n<td><span style=\"font-weight: 400;\">Thu\u1eadt ng\u1eef<\/span><\/td>\n<td><span style=\"font-weight: 400;\">IPA<\/span><\/td>\n<td><span style=\"font-weight: 400;\">Meaning<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">Triangle<\/span><\/td>\n<td><span style=\"font-weight: 400;\">\/\u02c8tra\u026a.\u00e6\u014b.\u0261\u0259l\/<\/span><\/td>\n<td><span style=\"font-weight: 400;\">Tam gi\u00e1c<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">Side<\/span><\/td>\n<td><span style=\"font-weight: 400;\">\/sa\u026ad\/<\/span><\/td>\n<td><span style=\"font-weight: 400;\">C\u1ea1nh<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">Vertex<\/span><\/td>\n<td><span style=\"font-weight: 400;\">\/\u02c8v\u025c\u02d0r.teks\/<\/span><\/td>\n<td><span style=\"font-weight: 400;\">\u0110\u1ec9nh<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">Angle<\/span><\/td>\n<td><span style=\"font-weight: 400;\">\/\u02c8\u00e6\u014b.\u0261\u0259l\/<\/span><\/td>\n<td><span style=\"font-weight: 400;\">G\u00f3c<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">Right triangle<\/span><\/td>\n<td><span style=\"font-weight: 400;\">\/ra\u026at \u02c8tra\u026a.\u00e6\u014b.\u0261\u0259l\/<\/span><\/td>\n<td><span style=\"font-weight: 400;\">Tam gi\u00e1c vu\u00f4ng<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">Right angle<\/span><\/td>\n<td><span style=\"font-weight: 400;\">\/ra\u026at \u02c8\u00e6\u014b.\u0261\u0259l\/<\/span><\/td>\n<td><span style=\"font-weight: 400;\">G\u00f3c vu\u00f4ng<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">Leg<\/span><\/td>\n<td><span style=\"font-weight: 400;\">\/le\u0261\/<\/span><\/td>\n<td><span style=\"font-weight: 400;\">C\u1ea1nh g\u00f3c vu\u00f4ng<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">Hypotenuse<\/span><\/td>\n<td><span style=\"font-weight: 400;\">\/ha\u026a\u02c8p\u0252t.\u0259.nju\u02d0s\/<\/span><\/td>\n<td><span style=\"font-weight: 400;\">C\u1ea1nh huy\u1ec1n<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">Equilateral triangle<\/span><\/td>\n<td><span style=\"font-weight: 400;\">\/\u02cci\u02d0.kw\u026a\u02c8l\u00e6t\u032c.\u0259r.\u0259l \u02c8tra\u026a.\u00e6\u014b.\u0261\u0259l\/<\/span><\/td>\n<td><span style=\"font-weight: 400;\">Tam gi\u00e1c \u0111\u1ec1u<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">Isosceles triangle<\/span><\/td>\n<td><span style=\"font-weight: 400;\">\/a\u026a\u02c8s\u0252s.\u0259.li\u02d0z \u02c8tra\u026a.\u00e6\u014b.\u0261\u0259l\/<\/span><\/td>\n<td><span style=\"font-weight: 400;\">Tam gi\u00e1c c\u00e2n<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">Scalene triangle<\/span><\/td>\n<td><span style=\"font-weight: 400;\">\/\u02c8ske\u026a.li\u02d0n \u02c8tra\u026a.\u00e6\u014b.\u0261\u0259l\/<\/span><\/td>\n<td><span style=\"font-weight: 400;\">Tam gi\u00e1c th\u01b0\u1eddng<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">Base<\/span><\/td>\n<td><span style=\"font-weight: 400;\">\/be\u026as\/<\/span><\/td>\n<td><span style=\"font-weight: 400;\">\u0110\u00e1y<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">Height<\/span><\/td>\n<td><span style=\"font-weight: 400;\">\/ha\u026at\/<\/span><\/td>\n<td><span style=\"font-weight: 400;\">Chi\u1ec1u cao<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">Perimeter<\/span><\/td>\n<td><span style=\"font-weight: 400;\">\/p\u0259\u02c8r\u026am.\u0259.t\u0259r\/<\/span><\/td>\n<td><span style=\"font-weight: 400;\">Chu vi<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">Area<\/span><\/td>\n<td><span style=\"font-weight: 400;\">\/\u02c8er.i.\u0259\/<\/span><\/td>\n<td><span style=\"font-weight: 400;\">Di\u1ec7n t\u00edch<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">Similar triangles<\/span><\/td>\n<td><span style=\"font-weight: 400;\">\/\u02c8s\u026am.\u0259.l\u0259r \u02c8tra\u026a.\u00e6\u014b.\u0261\u0259lz\/<\/span><\/td>\n<td><span style=\"font-weight: 400;\">C\u00e1c tam gi\u00e1c \u0111\u1ed3ng d\u1ea1ng<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">Corresponding sides<\/span><\/td>\n<td><span style=\"font-weight: 400;\">\/\u02cck\u0254\u02d0r.\u0259\u02c8sp\u0252n.d\u026a\u014b sa\u026adz\/<\/span><\/td>\n<td><span style=\"font-weight: 400;\">C\u00e1c c\u1ea1nh t\u01b0\u01a1ng \u1ee9ng<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">Corresponding angles<\/span><\/td>\n<td><span style=\"font-weight: 400;\">\/\u02cck\u0254\u02d0r.\u0259\u02c8sp\u0252n.d\u026a\u014b \u02c8\u00e6\u014b.\u0261\u0259lz\/<\/span><\/td>\n<td><span style=\"font-weight: 400;\">C\u00e1c g\u00f3c t\u01b0\u01a1ng \u1ee9ng<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">Congruent<\/span><\/td>\n<td><span style=\"font-weight: 400;\">\/\u02c8k\u0252\u014b.\u0261ru.\u0259nt\/<\/span><\/td>\n<td><span style=\"font-weight: 400;\">B\u1eb1ng nhau v\u1ec1 h\u00ecnh d\u1ea1ng v\u00e0 k\u00edch th\u01b0\u1edbc<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">Pythagorean Theorem<\/span><\/td>\n<td><span style=\"font-weight: 400;\">\/\u02ccpa\u026a.\u03b8\u0259.\u0261\u0259\u02c8ri\u02d0.\u0259n \u02c8\u03b8\u026a\u0259.r\u0259m\/<\/span><\/td>\n<td><span style=\"font-weight: 400;\">\u0110\u1ecbnh l\u00fd Pythagore<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h3><a href=\"https:\/\/register.etest.edu.vn\/\"><b>Luy\u1ec7n SAT Math<\/b><\/a><b> b\u00e0i b\u1ea3n c\u00f9ng ETEST<\/b><\/h3>\n<p><span style=\"font-weight: 400;\">N\u1eafm ch\u1eafc c\u00e1c d\u1ea1ng h\u00ecnh h\u1ecdc nh\u01b0 <\/span><b>triangle<\/b><span style=\"font-weight: 400;\"> l\u00e0 m\u1ed9t ph\u1ea7n quan tr\u1ecdng trong qu\u00e1 tr\u00ecnh \u00f4n SAT Math. Tuy nhi\u00ean, \u0111\u1ec3 c\u1ea3i thi\u1ec7n \u0111i\u1ec3m s\u1ed1, h\u1ecdc sinh kh\u00f4ng ch\u1ec9 c\u1ea7n nh\u1edb c\u00f4ng th\u1ee9c m\u00e0 c\u00f2n ph\u1ea3i bi\u1ebft c\u00e1ch <\/span><b>nh\u1eadn di\u1ec7n d\u1ea1ng b\u00e0i, khai th\u00e1c d\u1eef ki\u1ec7n v\u00e0 l\u1ef1a ch\u1ecdn ph\u01b0\u01a1ng ph\u00e1p gi\u1ea3i nhanh, ch\u00ednh x\u00e1c<\/b><span style=\"font-weight: 400;\">.<\/span><\/p>\n<p><img decoding=\"async\" class=\"aligncenter size-full wp-image-33987\" src=\"https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/triangle-tam-giac-trong-bai-thi-sat-14.jpg\" alt=\"Luy\u1ec7n SAT Math b\u00e0i b\u1ea3n c\u00f9ng ETEST \" width=\"1920\" height=\"1080\" srcset=\"https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/triangle-tam-giac-trong-bai-thi-sat-14.jpg 1920w, https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/triangle-tam-giac-trong-bai-thi-sat-14-711x400.jpg 711w, https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/triangle-tam-giac-trong-bai-thi-sat-14-1400x788.jpg 1400w, https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/triangle-tam-giac-trong-bai-thi-sat-14-768x432.jpg 768w, https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/triangle-tam-giac-trong-bai-thi-sat-14-1536x864.jpg 1536w, https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/triangle-tam-giac-trong-bai-thi-sat-14-18x10.jpg 18w\" sizes=\"(max-width: 1920px) 100vw, 1920px\" \/><\/p>\n<p><span style=\"font-weight: 400;\">In <\/span><a href=\"https:\/\/etest.edu.vn\/en\/\"><b>ETEST<\/b><\/a><span style=\"font-weight: 400;\">, ch\u01b0\u01a1ng tr\u00ecnh <\/span><a href=\"https:\/\/etest.edu.vn\/en\/khoa-hoc\/luyen-thi-sat\/\"><b>SAT test preparation<\/b><\/a><span style=\"font-weight: 400;\"> \u0111\u01b0\u1ee3c x\u00e2y d\u1ef1ng theo l\u1ed9 tr\u00ecnh r\u00f5 r\u00e0ng, gi\u00fap h\u1ecdc sinh c\u1ee7ng c\u1ed1 n\u1ec1n t\u1ea3ng Math, r\u00e8n t\u01b0 duy gi\u1ea3i quy\u1ebft v\u1ea5n \u0111\u1ec1 v\u00e0 l\u00e0m quen v\u1edbi c\u00e1ch x\u1eed l\u00fd c\u00e1c d\u1ea1ng c\u00e2u h\u1ecfi trong k\u1ef3 thi SAT. \u0110\u1eb7c bi\u1ec7t, h\u1ecdc sinh c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c <\/span><a href=\"https:\/\/etest.edu.vn\/en\/doi-ngu-giao-vien\/\"><b>t\u01b0 v\u1ea5n l\u1ed9 tr\u00ecnh 1:1 c\u00f9ng gi\u00e1o vi\u00ean \u0111\u1ea1t 1600\/1600 SAT<\/b><\/a><span style=\"font-weight: 400;\">, t\u1eeb \u0111\u00f3 x\u00e1c \u0111\u1ecbnh m\u1ee5c ti\u00eau v\u00e0 ph\u01b0\u01a1ng ph\u00e1p h\u1ecdc ph\u00f9 h\u1ee3p v\u1edbi n\u0103ng l\u1ef1c hi\u1ec7n t\u1ea1i.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">N\u1ebfu \u0111ang chu\u1ea9n b\u1ecb cho <\/span><a href=\"https:\/\/etest.edu.vn\/en\/hoc-sat-la-gi-va-tam-quan-trong-cua-viet-hoc-sat\/\"><span style=\"font-weight: 400;\">SAT exam<\/span><\/a><span style=\"font-weight: 400;\"> v\u00e0 mu\u1ed1n x\u00e2y d\u1ef1ng n\u1ec1n t\u1ea3ng Math v\u1eefng ch\u1eafc ngay t\u1eeb \u0111\u1ea7u, h\u1ecdc sinh c\u00f3 th\u1ec3 b\u1eaft \u0111\u1ea7u b\u1eb1ng vi\u1ec7c <\/span><b>\u0111\u00e1nh gi\u00e1 tr\u00ecnh \u0111\u1ed9 v\u00e0 x\u00e2y d\u1ef1ng l\u1ed9 tr\u00ecnh luy\u1ec7n thi ph\u00f9 h\u1ee3p t\u1ea1i ETEST<\/b><span style=\"font-weight: 400;\">.<\/span><\/p>\n\n\n<div class=\"kk-star-ratings kksr-auto kksr-align-left kksr-valign-bottom\"\n    data-payload='{&quot;align&quot;:&quot;left&quot;,&quot;id&quot;:&quot;33972&quot;,&quot;slug&quot;:&quot;default&quot;,&quot;valign&quot;:&quot;bottom&quot;,&quot;ignore&quot;:&quot;&quot;,&quot;reference&quot;:&quot;auto&quot;,&quot;class&quot;:&quot;&quot;,&quot;count&quot;:&quot;0&quot;,&quot;legendonly&quot;:&quot;&quot;,&quot;readonly&quot;:&quot;&quot;,&quot;score&quot;:&quot;0&quot;,&quot;starsonly&quot;:&quot;&quot;,&quot;best&quot;:&quot;5&quot;,&quot;gap&quot;:&quot;5&quot;,&quot;greet&quot;:&quot;\u0110\u00e1nh gi\u00e1 b\u00e0i vi\u1ebft&quot;,&quot;legend&quot;:&quot;0\\\/5 - (0 votes)&quot;,&quot;size&quot;:&quot;24&quot;,&quot;title&quot;:&quot;Triangle (tam gi\u00e1c) trong b\u00e0i thi SAT: T\u1ed5ng h\u1ee3p ki\u1ebfn th\u1ee9c, c\u00f4ng th\u1ee9c v\u00e0 chi\u1ebfn thu\u1eadt l\u00e0m b\u00e0i&quot;,&quot;width&quot;:&quot;0&quot;,&quot;_legend&quot;:&quot;{score}\\\/{best} - ({count} {votes})&quot;,&quot;font_factor&quot;:&quot;1.25&quot;}'>\n            \n<div class=\"kksr-stars\">\n    \n<div class=\"kksr-stars-inactive\">\n            <div class=\"kksr-star\" data-star=\"1\" style=\"padding-right: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 24px; height: 24px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" data-star=\"2\" style=\"padding-right: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 24px; height: 24px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" data-star=\"3\" style=\"padding-right: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 24px; height: 24px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" data-star=\"4\" style=\"padding-right: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 24px; height: 24px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" data-star=\"5\" style=\"padding-right: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 24px; height: 24px;\"><\/div>\n        <\/div>\n    <\/div>\n    \n<div class=\"kksr-stars-active\" style=\"width: 0px;\">\n            <div class=\"kksr-star\" style=\"padding-right: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 24px; height: 24px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" style=\"padding-right: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 24px; height: 24px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" style=\"padding-right: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 24px; height: 24px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" style=\"padding-right: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 24px; height: 24px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" style=\"padding-right: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 24px; height: 24px;\"><\/div>\n        <\/div>\n    <\/div>\n<\/div>\n                \n\n<div class=\"kksr-legend\" style=\"font-size: 19.2px;\">\n            <span class=\"kksr-muted\">Rate this article<\/span>\n    <\/div>\n    <\/div>","protected":false},"excerpt":{"rendered":"<p>Triangle (tam gi\u00e1c) l\u00e0 m\u1ed9t trong nh\u1eefng ch\u1ee7 \u0111\u1ec1 h\u00ecnh h\u1ecdc quan tr\u1ecdng c\u1ea7n n\u1eafm v\u1eefng khi \u00f4n thi SAT Math. Theo College Board, nh\u00f3m n\u1ed9i dung n\u00e0y chi\u1ebfm kho\u1ea3ng 5\u20137 c\u00e2u trong m\u1ed7i module Math, bao g\u1ed3m c\u00e1c ki\u1ebfn th\u1ee9c v\u1ec1 g\u00f3c, tam gi\u00e1c, tam gi\u00e1c vu\u00f4ng, l\u01b0\u1ee3ng gi\u00e1c v\u00e0 \u0111\u01b0\u1eddng tr\u00f2n. C\u00e1c c\u00e2u [&#8230;]","protected":false},"author":21,"featured_media":33983,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"inline_featured_image":false,"footnotes":""},"categories":[285,1],"tags":[],"class_list":["post-33972","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-sat","category-tin-tuc"],"acf":[],"_links":{"self":[{"href":"https:\/\/etest.edu.vn\/en\/wp-json\/wp\/v2\/posts\/33972","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/etest.edu.vn\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/etest.edu.vn\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/etest.edu.vn\/en\/wp-json\/wp\/v2\/users\/21"}],"replies":[{"embeddable":true,"href":"https:\/\/etest.edu.vn\/en\/wp-json\/wp\/v2\/comments?post=33972"}],"version-history":[{"count":4,"href":"https:\/\/etest.edu.vn\/en\/wp-json\/wp\/v2\/posts\/33972\/revisions"}],"predecessor-version":[{"id":33997,"href":"https:\/\/etest.edu.vn\/en\/wp-json\/wp\/v2\/posts\/33972\/revisions\/33997"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/etest.edu.vn\/en\/wp-json\/wp\/v2\/media\/33983"}],"wp:attachment":[{"href":"https:\/\/etest.edu.vn\/en\/wp-json\/wp\/v2\/media?parent=33972"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/etest.edu.vn\/en\/wp-json\/wp\/v2\/categories?post=33972"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/etest.edu.vn\/en\/wp-json\/wp\/v2\/tags?post=33972"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}