{"id":34159,"date":"2026-10-21T17:26:27","date_gmt":"2026-10-21T10:26:27","guid":{"rendered":"https:\/\/etest.edu.vn\/?p=34159"},"modified":"2026-10-21T17:26:27","modified_gmt":"2026-10-21T10:26:27","slug":"centroid-la-gi-cong-thuc-trong-tam-tam-giac-tinh-chat-va-bai-tap-minh-hoa","status":"publish","type":"post","link":"https:\/\/etest.edu.vn\/en\/centroid-la-gi-cong-thuc-trong-tam-tam-giac-tinh-chat-va-bai-tap-minh-hoa\/","title":{"rendered":"Centroid l\u00e0 g\u00ec? C\u00f4ng th\u1ee9c tr\u1ecdng t\u00e2m tam gi\u00e1c, t\u00ednh ch\u1ea5t v\u00e0 b\u00e0i t\u1eadp minh h\u1ecda"},"content":{"rendered":"<p><span style=\"font-weight: 400;\">Trong h\u00ecnh h\u1ecdc, <\/span><b>Centroid l\u00e0 tr\u1ecdng t\u00e2m c\u1ee7a tam gi\u00e1c<\/b><span style=\"font-weight: 400;\">, m\u1ed9t \u0111i\u1ec3m \u0111\u1eb7c bi\u1ec7t \u0111\u01b0\u1ee3c t\u1ea1o th\u00e0nh t\u1eeb giao \u0111i\u1ec3m c\u1ee7a ba \u0111\u01b0\u1eddng trung tuy\u1ebfn. \u0110\u00e2y l\u00e0 ki\u1ebfn th\u1ee9c quan tr\u1ecdng trong h\u00ecnh h\u1ecdc ph\u1eb3ng, th\u01b0\u1eddng xu\u1ea5t hi\u1ec7n trong c\u00e1c b\u00e0i to\u00e1n v\u1ec1 t\u1ecda \u0111\u1ed9, t\u1ef7 l\u1ec7 \u0111o\u1ea1n th\u1eb3ng v\u00e0 di\u1ec7n t\u00edch tam gi\u00e1c, bao g\u1ed3m c\u1ea3 SAT Math.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">V\u1eady Centroid l\u00e0 g\u00ec, \u0111\u01b0\u1ee3c x\u00e1c \u0111\u1ecbnh nh\u01b0 th\u1ebf n\u00e0o v\u00e0 c\u00f3 nh\u1eefng t\u00ednh ch\u1ea5t quan tr\u1ecdng n\u00e0o? B\u00e0i vi\u1ebft d\u01b0\u1edbi \u0111\u00e2y s\u1ebd gi\u00fap b\u1ea1n n\u1eafm v\u1eefng \u0111\u1ecbnh ngh\u0129a, c\u00f4ng th\u1ee9c t\u00ednh t\u1ecda \u0111\u1ed9 tr\u1ecdng t\u00e2m v\u00e0 c\u00e1ch v\u1eadn d\u1ee5ng qua c\u00e1c v\u00ed d\u1ee5 c\u1ee5 th\u1ec3.<\/span><\/p>\n<figure id=\"attachment_34160\" aria-describedby=\"caption-attachment-34160\" style=\"width: 350px\" class=\"wp-caption aligncenter\"><img decoding=\"async\" class=\"wp-image-34160 size-full\" src=\"https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/Untitled-Design-6.jpg\" alt=\"\" width=\"350\" height=\"243\" srcset=\"https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/Untitled-Design-6.jpg 350w, https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/Untitled-Design-6-18x12.jpg 18w\" sizes=\"(max-width: 350px) 100vw, 350px\" \/><figcaption id=\"caption-attachment-34160\" class=\"wp-caption-text\">Centroid l\u00e0 g\u00ec? C\u00f4ng th\u1ee9c tr\u1ecdng t\u00e2m tam gi\u00e1c, t\u00ednh ch\u1ea5t v\u00e0 b\u00e0i t\u1eadp minh h\u1ecda<\/figcaption><\/figure>\n<h2><b>1. Centroid l\u00e0 g\u00ec?<\/b><\/h2>\n<p><b>Centroid (tr\u1ecdng t\u00e2m tam gi\u00e1c)<\/b><span style=\"font-weight: 400;\"> l\u00e0 giao \u0111i\u1ec3m c\u1ee7a ba \u0111\u01b0\u1eddng trung tuy\u1ebfn trong m\u1ed9t tam gi\u00e1c. \u0110i\u1ec3m n\u00e0y th\u01b0\u1eddng \u0111\u01b0\u1ee3c k\u00fd hi\u1ec7u l\u00e0 (G).<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u0110\u01b0\u1eddng trung tuy\u1ebfn l\u00e0 \u0111o\u1ea1n th\u1eb3ng n\u1ed1i m\u1ed9t \u0111\u1ec9nh c\u1ee7a tam gi\u00e1c v\u1edbi trung \u0111i\u1ec3m c\u1ee7a c\u1ea1nh \u0111\u1ed1i di\u1ec7n. M\u1ed7i tam gi\u00e1c c\u00f3 ba \u0111\u01b0\u1eddng trung tuy\u1ebfn v\u00e0 c\u1ea3 ba lu\u00f4n \u0111\u1ed3ng quy t\u1ea1i m\u1ed9t \u0111i\u1ec3m duy nh\u1ea5t, ch\u00ednh l\u00e0 tr\u1ecdng t\u00e2m.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">V\u00ed d\u1ee5, x\u00e9t tam gi\u00e1c (ABC):<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">(M) l\u00e0 trung \u0111i\u1ec3m c\u1ee7a c\u1ea1nh (BC).<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">(N) l\u00e0 trung \u0111i\u1ec3m c\u1ee7a c\u1ea1nh (AC).<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">(P) l\u00e0 trung \u0111i\u1ec3m c\u1ee7a c\u1ea1nh (AB).<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">Khi \u0111\u00f3, (AM), (BN) v\u00e0 (CP) l\u00e0 ba \u0111\u01b0\u1eddng trung tuy\u1ebfn. Giao \u0111i\u1ec3m c\u1ee7a ch\u00fang l\u00e0 tr\u1ecdng t\u00e2m (G).<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Tr\u1ecdng t\u00e2m kh\u00f4ng nh\u1ea5t thi\u1ebft n\u1eb1m \u1edf t\u00e2m h\u00ecnh h\u1ecdc theo ngh\u0129a \u0111\u1ed1i x\u1ee9ng. Tuy nhi\u00ean, \u0111\u1ed1i v\u1edbi m\u1ed9t t\u1ea5m tam gi\u00e1c \u0111\u1ed3ng ch\u1ea5t c\u00f3 m\u1eadt \u0111\u1ed9 ph\u00e2n b\u1ed1 \u0111\u1ec1u, tr\u1ecdng t\u00e2m h\u00ecnh h\u1ecdc c\u0169ng ch\u00ednh l\u00e0 t\u00e2m kh\u1ed1i l\u01b0\u1ee3ng c\u1ee7a t\u1ea5m \u0111\u00f3.<\/span><\/p>\n<h2><b>2. Centroid c\u00f3 nh\u1eefng t\u00ednh ch\u1ea5t n\u00e0o?<\/b><\/h2>\n<p><span style=\"font-weight: 400;\">Centroid (tr\u1ecdng t\u00e2m tam gi\u00e1c) c\u00f3 ba t\u00ednh ch\u1ea5t quan tr\u1ecdng th\u01b0\u1eddng \u0111\u01b0\u1ee3c v\u1eadn d\u1ee5ng trong c\u00e1c b\u00e0i to\u00e1n h\u00ecnh h\u1ecdc:<\/span><\/p>\n<ol>\n<li><span style=\"font-weight: 400;\"> Lu\u00f4n n\u1eb1m b\u00ean trong tam gi\u00e1c: D\u00f9 tam gi\u00e1c l\u00e0 tam gi\u00e1c nh\u1ecdn, tam gi\u00e1c vu\u00f4ng hay tam gi\u00e1c t\u00f9, tr\u1ecdng t\u00e2m v\u1eabn lu\u00f4n n\u1eb1m b\u00ean trong tam gi\u00e1c.<\/span><\/li>\n<li><span style=\"font-weight: 400;\"> Chia m\u1ed7i \u0111\u01b0\u1eddng trung tuy\u1ebfn theo t\u1ec9 l\u1ec7 2 : 1: Tr\u1ecdng t\u00e2m chia \u0111\u01b0\u1eddng trung tuy\u1ebfn th\u00e0nh hai \u0111o\u1ea1n, trong \u0111\u00f3 \u0111o\u1ea1n n\u1ed1i t\u1eeb \u0111\u1ec9nh \u0111\u1ebfn tr\u1ecdng t\u00e2m d\u00e0i b\u1eb1ng <\/span><span style=\"font-weight: 400;\">2<\/span><span style=\"font-weight: 400;\">3<\/span><span style=\"font-weight: 400;\"> \u0111\u01b0\u1eddng trung tuy\u1ebfn, c\u00f2n \u0111o\u1ea1n t\u1eeb tr\u1ecdng t\u00e2m \u0111\u1ebfn trung \u0111i\u1ec3m c\u1ea1nh \u0111\u1ed1i di\u1ec7n d\u00e0i b\u1eb1ng <\/span><span style=\"font-weight: 400;\">1<\/span><span style=\"font-weight: 400;\">3<\/span><span style=\"font-weight: 400;\"> \u0111\u01b0\u1eddng trung tuy\u1ebfn.<\/span><\/li>\n<li><span style=\"font-weight: 400;\"> L\u00e0 giao \u0111i\u1ec3m duy nh\u1ea5t c\u1ee7a ba \u0111\u01b0\u1eddng trung tuy\u1ebfn: Ba \u0111\u01b0\u1eddng trung tuy\u1ebfn c\u1ee7a m\u1ed9t tam gi\u00e1c lu\u00f4n \u0111\u1ed3ng quy t\u1ea1i m\u1ed9t \u0111i\u1ec3m, v\u00e0 \u0111i\u1ec3m \u0111\u00f3 ch\u00ednh l\u00e0 tr\u1ecdng t\u00e2m (Centroid).<\/span><\/li>\n<\/ol>\n<p><span style=\"font-weight: 400;\">Ngo\u00e0i ra, tr\u1ecdng t\u00e2m c\u00f2n c\u00f3 m\u1ed9t t\u00ednh ch\u1ea5t vect\u01a1 h\u1eefu \u00edch. N\u1ebfu <\/span><span style=\"font-weight: 400;\">G<\/span><span style=\"font-weight: 400;\"> l\u00e0 tr\u1ecdng t\u00e2m c\u1ee7a tam gi\u00e1c <\/span><span style=\"font-weight: 400;\">ABC<\/span><span style=\"font-weight: 400;\">, ta c\u00f3:<\/span><\/p>\n<p><span style=\"font-weight: 400;\">GA + GB + GC = 0.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">T\u00ednh ch\u1ea5t n\u00e0y th\u1ec3 hi\u1ec7n s\u1ef1 c\u00e2n b\u1eb1ng vect\u01a1 c\u1ee7a ba \u0111\u1ec9nh quanh tr\u1ecdng t\u00e2m v\u00e0 c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c \u00e1p d\u1ee5ng trong c\u00e1c b\u00e0i to\u00e1n h\u00ecnh h\u1ecdc vect\u01a1.<\/span><\/p>\n<figure id=\"attachment_34161\" aria-describedby=\"caption-attachment-34161\" style=\"width: 495px\" class=\"wp-caption aligncenter\"><img decoding=\"async\" class=\"wp-image-34161 size-medium\" src=\"https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/Untitled-Design-1-2-495x400.jpg\" alt=\"\" width=\"495\" height=\"400\" srcset=\"https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/Untitled-Design-1-2-495x400.jpg 495w, https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/Untitled-Design-1-2-768x620.jpg 768w, https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/Untitled-Design-1-2-15x12.jpg 15w, https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/Untitled-Design-1-2.jpg 800w\" sizes=\"(max-width: 495px) 100vw, 495px\" \/><figcaption id=\"caption-attachment-34161\" class=\"wp-caption-text\">Centroid c\u00f3 nh\u1eefng t\u00ednh ch\u1ea5t n\u00e0o?<\/figcaption><\/figure>\n<h2><b>3. C\u00f4ng th\u1ee9c t\u00ednh t\u1ecda \u0111\u1ed9 centroid<\/b><\/h2>\n<p><span style=\"font-weight: 400;\">Cho tam gi\u00e1c c\u00f3 ba \u0111\u1ec9nh A(x\u2081, y\u2081), B(x\u2082, y\u2082), C(x\u2083, y\u2083). T\u1ecda \u0111\u1ed9 centroid G l\u00e0 trung b\u00ecnh c\u1ed9ng t\u1ecda \u0111\u1ed9 ba \u0111\u1ec9nh:<\/span><\/p>\n<p><b>G = ((x\u2081 + x\u2082 + x\u2083) \u00f7 3 ; (y\u2081 + y\u2082 + y\u2083) \u00f7 3)<\/b><\/p>\n<p><span style=\"font-weight: 400;\">N\u00f3i c\u00e1ch kh\u00e1c, b\u1ea1n l\u1ea5y trung b\u00ecnh c\u1ed9ng c\u00e1c ho\u00e0nh \u0111\u1ed9 \u0111\u1ec3 ra ho\u00e0nh \u0111\u1ed9 c\u1ee7a G, v\u00e0 trung b\u00ecnh c\u1ed9ng c\u00e1c tung \u0111\u1ed9 \u0111\u1ec3 ra tung \u0111\u1ed9 c\u1ee7a G.<\/span><\/p>\n<h2><b>4. C\u00e1ch x\u00e1c \u0111\u1ecbnh Centroid b\u1eb1ng t\u1ecda \u0111\u1ed9 trong 3 b\u01b0\u1edbc<\/b><\/h2>\n<p><span style=\"font-weight: 400;\">\u0110\u1ec3 t\u00ecm t\u1ecda \u0111\u1ed9 tr\u1ecdng t\u00e2m <\/span><span style=\"font-weight: 400;\">G<\/span><span style=\"font-weight: 400;\"> c\u1ee7a m\u1ed9t tam gi\u00e1c, b\u1ea1n c\u00f3 th\u1ec3 th\u1ef1c hi\u1ec7n theo ba b\u01b0\u1edbc \u0111\u01a1n gi\u1ea3n:<\/span><\/p>\n<ol>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">X\u00e1c \u0111\u1ecbnh t\u1ecda \u0111\u1ed9 ba \u0111\u1ec9nh: Ghi l\u1ea1i t\u1ecda \u0111\u1ed9 c\u1ee7a c\u00e1c \u0111\u1ec9nh <\/span><span style=\"font-weight: 400;\">A<\/span><span style=\"font-weight: 400;\">, <\/span><span style=\"font-weight: 400;\">B<\/span><span style=\"font-weight: 400;\"> and <\/span><span style=\"font-weight: 400;\">C<\/span><span style=\"font-weight: 400;\">.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">T\u00ednh t\u1ed5ng t\u1ecda \u0111\u1ed9 theo t\u1eebng tr\u1ee5c: C\u1ed9ng ri\u00eang c\u00e1c ho\u00e0nh \u0111\u1ed9 <\/span><span style=\"font-weight: 400;\">x<\/span><span style=\"font-weight: 400;\"> v\u00e0 c\u00e1c tung \u0111\u1ed9 <\/span><span style=\"font-weight: 400;\">y<\/span><span style=\"font-weight: 400;\"> c\u1ee7a ba \u0111\u1ec9nh.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">T\u00ednh t\u1ecda \u0111\u1ed9 tr\u1ecdng t\u00e2m: Chia m\u1ed7i t\u1ed5ng v\u1eeba t\u00ecm \u0111\u01b0\u1ee3c cho <\/span><span style=\"font-weight: 400;\">3<\/span><span style=\"font-weight: 400;\"> \u0111\u1ec3 x\u00e1c \u0111\u1ecbnh ho\u00e0nh \u0111\u1ed9 v\u00e0 tung \u0111\u1ed9 c\u1ee7a <\/span><span style=\"font-weight: 400;\">G<\/span><span style=\"font-weight: 400;\">.<\/span><\/li>\n<\/ol>\n<p><span style=\"font-weight: 400;\">C\u00e1ch l\u00e0m n\u00e0y gi\u00fap \u0111\u01a1n gi\u1ea3n h\u00f3a qu\u00e1 tr\u00ecnh t\u00ednh to\u00e1n, \u0111\u1eb7c bi\u1ec7t trong c\u00e1c b\u00e0i to\u00e1n h\u00ecnh h\u1ecdc t\u1ecda \u0111\u1ed9 v\u00e0 Digital SAT Math.<\/span><\/p>\n<h2><b>5. B\u00e0i t\u1eadp minh h\u1ecda k\u00e8m \u0111\u00e1p \u00e1n:<\/b><\/h2>\n<h3><b>B\u00e0i t\u1eadp 1: T\u00ednh centroid khi bi\u1ebft ba \u0111\u1ec9nh<\/b><\/h3>\n<p><span style=\"font-weight: 400;\">Cho A(1, 2), B(5, 6), C(9, 4). T\u00ecm t\u1ecda \u0111\u1ed9 centroid.<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">T\u1ed5ng ho\u00e0nh \u0111\u1ed9: 1 + 5 + 9 = 15, chia 3 \u0111\u01b0\u1ee3c <\/span><b>5<\/b><span style=\"font-weight: 400;\">.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">T\u1ed5ng tung \u0111\u1ed9: 2 + 6 + 4 = 12, chia 3 \u0111\u01b0\u1ee3c <\/span><b>4<\/b><span style=\"font-weight: 400;\">.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">So <\/span><b>G(5, 4)<\/b><span style=\"font-weight: 400;\">.<\/span><\/li>\n<\/ul>\n<h3><b>B\u00e0i t\u1eadp 2: T\u00ecm \u0111\u1ec9nh c\u00f2n l\u1ea1i khi bi\u1ebft centroid<\/b><\/h3>\n<p><span style=\"font-weight: 400;\">Tam gi\u00e1c ABC c\u00f3 A(1, 1), B(4, 5) v\u00e0 centroid G(3, 2). T\u00ecm \u0111\u1ec9nh C.<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">T\u1eeb c\u00f4ng th\u1ee9c: x_C = 3 \u00d7 3 \u2212 1 \u2212 4 = <\/span><b>4<\/b><span style=\"font-weight: 400;\">.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">y_C = 3 \u00d7 2 \u2212 1 \u2212 5 = <\/span><b>0<\/b><span style=\"font-weight: 400;\">.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">So <\/span><b>C(4, 0)<\/b><span style=\"font-weight: 400;\">. Ki\u1ec3m tra: (1 + 4 + 4) \u00f7 3 = 3 v\u00e0 (1 + 5 + 0) \u00f7 3 = 2, kh\u1edbp v\u1edbi G.<\/span><\/li>\n<\/ul>\n<h3><b>B\u00e0i t\u1eadp 3: D\u00f9ng t\u1ec9 l\u1ec7 2 : 1<\/b><\/h3>\n<p><span style=\"font-weight: 400;\">M\u1ed9t \u0111\u01b0\u1eddng trung tuy\u1ebfn c\u1ee7a tam gi\u00e1c d\u00e0i 12 cm. T\u00ednh kho\u1ea3ng c\u00e1ch t\u1eeb \u0111\u1ec9nh \u0111\u1ebfn centroid.<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Kho\u1ea3ng c\u00e1ch t\u1eeb \u0111\u1ec9nh \u0111\u1ebfn G b\u1eb1ng 2\/3 \u00d7 12 = <\/span><b>8 cm<\/b><span style=\"font-weight: 400;\">.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Kho\u1ea3ng c\u00e1ch t\u1eeb G \u0111\u1ebfn trung \u0111i\u1ec3m c\u1ea1nh b\u1eb1ng 12 \u2212 8 = <\/span><b>4 cm<\/b><span style=\"font-weight: 400;\">.<\/span><\/li>\n<\/ul>\n<h2><b>6. Centroid kh\u00e1c g\u00ec incenter, circumcenter v\u00e0 orthocenter?<\/b><\/h2>\n<p><span style=\"font-weight: 400;\">Tam gi\u00e1c c\u00f3 b\u1ed1n \u201ct\u00e2m\u201d quen thu\u1ed9c, v\u00e0 h\u1ecdc sinh r\u1ea5t hay nh\u1ea7m l\u1eabn ch\u00fang:<\/span><\/p>\n<table>\n<tbody>\n<tr>\n<td><b>Point<\/b><\/td>\n<td><b>\u0110\u01b0\u1ee3c x\u00e1c \u0111\u1ecbnh b\u1edfi<\/b><\/td>\n<td><b>Lu\u00f4n n\u1eb1m trong tam gi\u00e1c?<\/b><\/td>\n<\/tr>\n<tr>\n<td><b>Centroid<\/b><span style=\"font-weight: 400;\"> (tr\u1ecdng t\u00e2m)<\/span><\/td>\n<td><span style=\"font-weight: 400;\">Giao ba \u0111\u01b0\u1eddng trung tuy\u1ebfn<\/span><\/td>\n<td><span style=\"font-weight: 400;\">Have<\/span><\/td>\n<\/tr>\n<tr>\n<td><b>Incenter<\/b><span style=\"font-weight: 400;\"> (t\u00e2m \u0111\u01b0\u1eddng tr\u00f2n n\u1ed9i ti\u1ebfp)<\/span><\/td>\n<td><span style=\"font-weight: 400;\">Giao ba \u0111\u01b0\u1eddng ph\u00e2n gi\u00e1c<\/span><\/td>\n<td><span style=\"font-weight: 400;\">Have<\/span><\/td>\n<\/tr>\n<tr>\n<td><b>Circumcenter<\/b><span style=\"font-weight: 400;\"> (t\u00e2m \u0111\u01b0\u1eddng tr\u00f2n ngo\u1ea1i ti\u1ebfp)<\/span><\/td>\n<td><span style=\"font-weight: 400;\">Giao ba \u0111\u01b0\u1eddng trung tr\u1ef1c<\/span><\/td>\n<td><span style=\"font-weight: 400;\">Kh\u00f4ng (n\u1eb1m ngo\u00e0i v\u1edbi tam gi\u00e1c t\u00f9)<\/span><\/td>\n<\/tr>\n<tr>\n<td><b>Orthocenter<\/b><span style=\"font-weight: 400;\"> (tr\u1ef1c t\u00e2m)<\/span><\/td>\n<td><span style=\"font-weight: 400;\">Giao ba \u0111\u01b0\u1eddng cao<\/span><\/td>\n<td><span style=\"font-weight: 400;\">Kh\u00f4ng (n\u1eb1m ngo\u00e0i v\u1edbi tam gi\u00e1c t\u00f9)<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><span style=\"font-weight: 400;\">LIVE <\/span><b>tam gi\u00e1c \u0111\u1ec1u<\/b><span style=\"font-weight: 400;\">, c\u1ea3 b\u1ed1n \u0111i\u1ec3m n\u00e0y tr\u00f9ng nhau. \u0110\u00e2y l\u00e0 m\u1ed9t chi ti\u1ebft hay \u0111\u01b0\u1ee3c d\u00f9ng \u0111\u1ec3 ra \u0111\u1ec1.<\/span><\/p>\n<h2><b>7. Centroid c\u1ee7a m\u1ed9t s\u1ed1 h\u00ecnh h\u1ecdc kh\u00e1c<\/b><\/h2>\n<p><span style=\"font-weight: 400;\">Ngo\u00e0i tam gi\u00e1c, centroid (tr\u1ecdng t\u00e2m) c\u1ee7a c\u00e1c h\u00ecnh h\u1ecdc kh\u00e1c c\u0169ng c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c x\u00e1c \u0111\u1ecbnh d\u1ef1a tr\u00ean \u0111\u1eb7c \u0111i\u1ec3m \u0111\u1ed1i x\u1ee9ng v\u00e0 ph\u00e2n b\u1ed1 di\u1ec7n t\u00edch c\u1ee7a h\u00ecnh:<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">H\u00ecnh ch\u1eef nh\u1eadt, h\u00ecnh vu\u00f4ng v\u00e0 h\u00ecnh b\u00ecnh h\u00e0nh: Centroid n\u1eb1m t\u1ea1i giao \u0111i\u1ec3m c\u1ee7a hai \u0111\u01b0\u1eddng ch\u00e9o.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">H\u00ecnh tr\u00f2n: Centroid tr\u00f9ng v\u1edbi t\u00e2m h\u00ecnh tr\u00f2n.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">H\u00ecnh gh\u00e9p: \u0110\u1ec3 x\u00e1c \u0111\u1ecbnh centroid, c\u00f3 th\u1ec3 chia h\u00ecnh th\u00e0nh c\u00e1c h\u00ecnh \u0111\u01a1n gi\u1ea3n h\u01a1n, sau \u0111\u00f3 t\u00ednh t\u1ecda \u0111\u1ed9 tr\u1ecdng t\u00e2m chung b\u1eb1ng ph\u01b0\u01a1ng ph\u00e1p trung b\u00ecnh c\u00f3 tr\u1ecdng s\u1ed1 theo di\u1ec7n t\u00edch c\u1ee7a t\u1eebng ph\u1ea7n. Ph\u01b0\u01a1ng ph\u00e1p n\u00e0y th\u01b0\u1eddng \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng trong c\u00e1c b\u00e0i to\u00e1n h\u00ecnh h\u1ecdc n\u00e2ng cao.<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">Vi\u1ec7c n\u1eafm v\u1eefng c\u00e1ch x\u00e1c \u0111\u1ecbnh centroid \u1edf t\u1eebng d\u1ea1ng h\u00ecnh s\u1ebd gi\u00fap h\u1ecdc sinh hi\u1ec3u r\u00f5 h\u01a1n v\u1ec1 kh\u00e1i ni\u1ec7m tr\u1ecdng t\u00e2m v\u00e0 v\u1eadn d\u1ee5ng linh ho\u1ea1t v\u00e0o c\u00e1c b\u00e0i to\u00e1n h\u00ecnh h\u1ecdc ph\u1ee9c t\u1ea1p.<\/span><\/p>\n<h2><b>8. Nh\u1eefng l\u1ed7i th\u01b0\u1eddng g\u1eb7p khi x\u00e1c \u0111\u1ecbnh Centroid<\/b><\/h2>\n<p><span style=\"font-weight: 400;\">Khi gi\u1ea3i c\u00e1c b\u00e0i to\u00e1n v\u1ec1 Centroid (tr\u1ecdng t\u00e2m tam gi\u00e1c), h\u1ecdc sinh c\u1ea7n l\u01b0u \u00fd m\u1ed9t s\u1ed1 l\u1ed7i ph\u1ed5 bi\u1ebfn sau \u0111\u1ec3 tr\u00e1nh nh\u1ea7m l\u1eabn v\u00e0 n\u00e2ng cao \u0111\u1ed9 ch\u00ednh x\u00e1c khi t\u00ednh to\u00e1n:<\/span><\/p>\n<ol>\n<li><span style=\"font-weight: 400;\"> Nh\u1ea7m Centroid v\u1edbi c\u00e1c \u0111i\u1ec3m \u0111\u1eb7c bi\u1ec7t kh\u00e1c: Centroid l\u00e0 tr\u1ecdng t\u00e2m tam gi\u00e1c, kh\u00e1c v\u1edbi trung \u0111i\u1ec3m c\u1ee7a m\u1ed9t \u0111o\u1ea1n th\u1eb3ng v\u00e0 circumcenter (t\u00e2m \u0111\u01b0\u1eddng tr\u00f2n ngo\u1ea1i ti\u1ebfp tam gi\u00e1c).<\/span><\/li>\n<li><span style=\"font-weight: 400;\"> S\u1eed d\u1ee5ng sai m\u1eabu s\u1ed1 trong c\u00f4ng th\u1ee9c t\u1ecda \u0111\u1ed9: Khi t\u00ednh t\u1ecda \u0111\u1ed9 tr\u1ecdng t\u00e2m tam gi\u00e1c, c\u1ea7n chia t\u1ed5ng ho\u00e0nh \u0111\u1ed9 v\u00e0 t\u1ed5ng tung \u0111\u1ed9 c\u1ee7a ba \u0111\u1ec9nh cho <\/span><span style=\"font-weight: 400;\">3<\/span><span style=\"font-weight: 400;\">, kh\u00f4ng ph\u1ea3i <\/span><span style=\"font-weight: 400;\">2<\/span><span style=\"font-weight: 400;\">.<\/span><\/li>\n<li><span style=\"font-weight: 400;\"> \u00c1p d\u1ee5ng sai t\u1ec9 l\u1ec7 \u0111\u01b0\u1eddng trung tuy\u1ebfn: Centroid chia m\u1ed7i \u0111\u01b0\u1eddng trung tuy\u1ebfn theo t\u1ec9 l\u1ec7 <\/span><span style=\"font-weight: 400;\">2:1<\/span><span style=\"font-weight: 400;\">, trong \u0111\u00f3 \u0111o\u1ea1n t\u1eeb \u0111\u1ec9nh \u0111\u1ebfn tr\u1ecdng t\u00e2m d\u00e0i g\u1ea5p \u0111\u00f4i \u0111o\u1ea1n t\u1eeb tr\u1ecdng t\u00e2m \u0111\u1ebfn trung \u0111i\u1ec3m c\u1ea1nh \u0111\u1ed1i di\u1ec7n.<\/span><\/li>\n<li><span style=\"font-weight: 400;\"> B\u1ecf s\u00f3t m\u1ed9t trong hai t\u1ecda \u0111\u1ed9: Khi x\u00e1c \u0111\u1ecbnh t\u1ecda \u0111\u1ed9 tr\u1ecdng t\u00e2m tr\u00ean m\u1eb7t ph\u1eb3ng, c\u1ea7n t\u00ednh \u0111\u1ea7y \u0111\u1ee7 c\u1ea3 ho\u00e0nh \u0111\u1ed9 <\/span><span style=\"font-weight: 400;\">x<\/span><span style=\"font-weight: 400;\">G<\/span><span style=\"font-weight: 400;\"> v\u00e0 tung \u0111\u1ed9 <\/span><span style=\"font-weight: 400;\">y<\/span><span style=\"font-weight: 400;\">G<\/span><span style=\"font-weight: 400;\">.<\/span><\/li>\n<\/ol>\n<p><span style=\"font-weight: 400;\">\u0110\u1ec3 h\u1ea1n ch\u1ebf nh\u1eefng sai s\u00f3t n\u00e0y, h\u1ecdc sinh n\u00ean ghi nh\u1edb c\u00e1c c\u00f4ng th\u1ee9c c\u1ed1t l\u00f5i, x\u00e1c \u0111\u1ecbnh \u0111\u00fang d\u1eef ki\u1ec7n \u0111\u1ec1 b\u00e0i v\u00e0 ki\u1ec3m tra k\u1ebft qu\u1ea3 sau m\u1ed7i b\u01b0\u1edbc t\u00ednh to\u00e1n.<\/span><\/p>\n<figure id=\"attachment_34162\" aria-describedby=\"caption-attachment-34162\" style=\"width: 658px\" class=\"wp-caption aligncenter\"><img decoding=\"async\" class=\"wp-image-34162 size-medium\" src=\"https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/Untitled-Design-2-3-658x400.jpg\" alt=\"\" width=\"658\" height=\"400\" srcset=\"https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/Untitled-Design-2-3-658x400.jpg 658w, https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/Untitled-Design-2-3-768x467.jpg 768w, https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/Untitled-Design-2-3-18x12.jpg 18w, https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/Untitled-Design-2-3.jpg 1200w\" sizes=\"(max-width: 658px) 100vw, 658px\" \/><figcaption id=\"caption-attachment-34162\" class=\"wp-caption-text\">Nh\u1eefng l\u1ed7i th\u01b0\u1eddng g\u1eb7p khi x\u00e1c \u0111\u1ecbnh Centroid<\/figcaption><\/figure>\n<h2><b>H\u1ecdc SAT Math hi\u1ec7u qu\u1ea3 c\u00f9ng ETEST<\/b><\/h2>\n<p><span style=\"font-weight: 400;\">\u0110\u1ec3 chinh ph\u1ee5c c\u00e1c d\u1ea1ng b\u00e0i h\u00ecnh h\u1ecdc v\u00e0 t\u1ecda \u0111\u1ed9 trong<\/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 Math<\/span><\/a><span style=\"font-weight: 400;\">, h\u1ecdc sinh c\u1ea7n x\u00e2y d\u1ef1ng n\u1ec1n t\u1ea3ng ki\u1ebfn th\u1ee9c v\u1eefng ch\u1eafc, luy\u1ec7n t\u1eadp theo t\u1eebng d\u1ea1ng v\u00e0 l\u00e0m quen v\u1edbi \u00e1p l\u1ef1c th\u1eddi gian c\u1ee7a b\u00e0i thi th\u1ef1c t\u1ebf. T\u1ea1i <\/span><a href=\"https:\/\/etest.edu.vn\/en\/\"><span style=\"font-weight: 400;\">ETEST<\/span><\/a><span style=\"font-weight: 400;\">, h\u1ecdc sinh c\u00f3 th\u1ec3 b\u1eaft \u0111\u1ea7u v\u1edbi<\/span><a href=\"https:\/\/sat.etest.edu.vn\/\"><span style=\"font-weight: 400;\"> b\u00e0i ki\u1ec3m tra \u0111\u1ea7u v\u00e0o<\/span><\/a><span style=\"font-weight: 400;\"> \u0111\u1ec3 \u0111\u00e1nh gi\u00e1 n\u0103ng l\u1ef1c, c\u1ee7ng c\u1ed1 ki\u1ebfn th\u1ee9c h\u00ecnh h\u1ecdc v\u00e0 thu\u1eadt ng\u1eef to\u00e1n h\u1ecdc b\u1eb1ng ti\u1ebfng Anh, sau \u0111\u00f3 luy\u1ec7n t\u1eadp chuy\u00ean s\u00e2u theo t\u1eebng d\u1ea1ng b\u00e0i. Qu\u00e1 tr\u00ecnh h\u1ecdc \u0111\u01b0\u1ee3c ti\u1ebfp n\u1ed1i b\u1eb1ng c\u00e1c b\u00e0i thi th\u1eed c\u00f3 gi\u1edbi h\u1ea1n th\u1eddi gian v\u00e0 ho\u1ea1t \u0111\u1ed9ng ph\u00e2n t\u00edch l\u1ed7i sai nh\u1eb1m nh\u1eadn di\u1ec7n \u0111i\u1ec3m y\u1ebfu, \u0111i\u1ec1u ch\u1ec9nh ph\u01b0\u01a1ng ph\u00e1p h\u1ecdc v\u00e0 c\u1ea3i thi\u1ec7n hi\u1ec7u su\u1ea5t l\u00e0m b\u00e0i. V\u1edbi l<\/span><a href=\"https:\/\/etest.edu.vn\/en\/khoa-hoc\/luyen-thi-sat\/\"><span style=\"font-weight: 400;\">\u1ed9 tr\u00ecnh h\u1ecdc t\u1eadp ph\u00f9 h\u1ee3p<\/span><\/a><span style=\"font-weight: 400;\"> v\u00e0 s\u1ef1 h\u01b0\u1edbng d\u1eabn s\u00e1t sao t\u1eeb<\/span><a href=\"https:\/\/etest.edu.vn\/en\/doi-ngu-giao-vien\/\"><span style=\"font-weight: 400;\"> teaching staff<\/span><\/a><span style=\"font-weight: 400;\">, ETEST \u0111\u1ed3ng h\u00e0nh c\u00f9ng h\u1ecdc sinh tr\u00ean h\u00e0nh tr\u00ecnh n\u00e2ng cao n\u0103ng l\u1ef1c SAT Math v\u00e0 h\u01b0\u1edbng \u0111\u1ebfn m\u1ee5c ti\u00eau \u0111i\u1ec3m s\u1ed1 \u0111\u00e3 \u0111\u1ec1 ra.<\/span><\/p>\n<figure id=\"attachment_34163\" aria-describedby=\"caption-attachment-34163\" style=\"width: 711px\" class=\"wp-caption aligncenter\"><img decoding=\"async\" class=\"wp-image-34163 size-medium\" src=\"https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/CHEN-LOGO-CHO-ANH-4-13-711x400.jpg\" alt=\"\" width=\"711\" height=\"400\" srcset=\"https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/CHEN-LOGO-CHO-ANH-4-13-711x400.jpg 711w, https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/CHEN-LOGO-CHO-ANH-4-13-1400x788.jpg 1400w, https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/CHEN-LOGO-CHO-ANH-4-13-768x432.jpg 768w, https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/CHEN-LOGO-CHO-ANH-4-13-1536x864.jpg 1536w, https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/CHEN-LOGO-CHO-ANH-4-13-18x10.jpg 18w, https:\/\/etest.edu.vn\/wp-content\/uploads\/2026\/10\/CHEN-LOGO-CHO-ANH-4-13.jpg 1920w\" sizes=\"(max-width: 711px) 100vw, 711px\" \/><figcaption id=\"caption-attachment-34163\" class=\"wp-caption-text\">T\u1ea1i ETEST, h\u1ecdc sinh c\u00f3 th\u1ec3 b\u1eaft \u0111\u1ea7u v\u1edbi b\u00e0i ki\u1ec3m tra \u0111\u1ea7u v\u00e0o \u0111\u1ec3 \u0111\u00e1nh gi\u00e1 n\u0103ng l\u1ef1c, c\u1ee7ng c\u1ed1 ki\u1ebfn th\u1ee9c h\u00ecnh h\u1ecdc v\u00e0 thu\u1eadt ng\u1eef to\u00e1n h\u1ecdc b\u1eb1ng ti\u1ebfng Anh, sau \u0111\u00f3 luy\u1ec7n t\u1eadp chuy\u00ean s\u00e2u theo t\u1eebng d\u1ea1ng b\u00e0i.<\/figcaption><\/figure>\n<h2><b>C\u00e2u h\u1ecfi th\u01b0\u1eddng g\u1eb7p v\u1ec1 centroid:<\/b><\/h2>\n<ol>\n<li><b> Centroid l\u00e0 g\u00ec?<\/b><b><br \/>\n<\/b><span style=\"font-weight: 400;\"> Centroid l\u00e0 \u0111i\u1ec3m tr\u1ecdng t\u00e2m c\u1ee7a m\u1ed9t h\u00ecnh. V\u1edbi tam gi\u00e1c, n\u00f3 l\u00e0 giao \u0111i\u1ec3m c\u1ee7a ba \u0111\u01b0\u1eddng trung tuy\u1ebfn.<\/span><\/li>\n<li><b> Centroid v\u00e0 tr\u1ecdng t\u00e2m c\u00f3 ph\u1ea3i l\u00e0 m\u1ed9t kh\u00f4ng?<\/b><b><br \/>\n<\/b><span style=\"font-weight: 400;\"> Trong h\u00ecnh h\u1ecdc tam gi\u00e1c, hai kh\u00e1i ni\u1ec7m n\u00e0y gi\u1ed1ng nhau. \u201cTr\u1ecdng t\u00e2m\u201d l\u00e0 c\u00e1ch g\u1ecdi ti\u1ebfng Vi\u1ec7t c\u1ee7a centroid.<\/span><\/li>\n<li><b> C\u00f4ng th\u1ee9c t\u00ednh t\u1ecda \u0111\u1ed9 centroid l\u00e0 g\u00ec?<\/b><b><br \/>\n<\/b><span style=\"font-weight: 400;\"> G = ((x\u2081 + x\u2082 + x\u2083) \u00f7 3 ; (y\u2081 + y\u2082 + y\u2083) \u00f7 3), t\u1ee9c l\u00e0 trung b\u00ecnh c\u1ed9ng t\u1ecda \u0111\u1ed9 ba \u0111\u1ec9nh.<\/span><\/li>\n<li><b> Centroid c\u00f3 th\u1ec3 n\u1eb1m ngo\u00e0i tam gi\u00e1c kh\u00f4ng?<\/b><b><br \/>\n<\/b><span style=\"font-weight: 400;\"> Kh\u00f4ng. Centroid lu\u00f4n n\u1eb1m b\u00ean trong tam gi\u00e1c. Orthocenter v\u00e0 circumcenter m\u1edbi c\u00f3 th\u1ec3 n\u1eb1m ngo\u00e0i.<\/span><\/li>\n<li><b> H\u1ecdc sinh luy\u1ec7n SAT c\u00f3 c\u1ea7n bi\u1ebft centroid kh\u00f4ng?<\/b><b><br \/>\n<\/b><span style=\"font-weight: 400;\"> Kh\u00f4ng c\u1ea7n h\u1ecdc thu\u1ed9c nh\u01b0 m\u1ed9t ch\u1ee7 \u0111\u1ec1 ri\u00eang, nh\u01b0ng n\u1eafm centroid gi\u00fap b\u1ea1n x\u1eed l\u00fd nhanh c\u00e1c b\u00e0i t\u1ecda \u0111\u1ed9 v\u00e0 trung tuy\u1ebfn. ETEST l\u1ed3ng c\u00e1c ki\u1ebfn th\u1ee9c n\u1ec1n n\u00e0y v\u00e0o l\u1ed9 tr\u00ecnh h\u1ecdc \u0111\u1ec3 h\u1ecdc vi\u00ean kh\u00f4ng b\u1ecb m\u1ea5t \u0111i\u1ec3m \u1edf nh\u1eefng c\u00e2u t\u01b0\u1edfng d\u1ec5.<\/span><\/li>\n<li><b> N\u00ean t\u1ef1 h\u1ecdc hay h\u1ecdc c\u00f9ng chuy\u00ean gia?<\/b><b><br \/>\n<\/b><span style=\"font-weight: 400;\"> T\u1ef1 h\u1ecdc ph\u00f9 h\u1ee3p \u1edf giai \u0111o\u1ea1n \u0111\u1ea7u. V\u1edbi nh\u1eefng b\u00e0i k\u1ebft h\u1ee3p nhi\u1ec1u kh\u00e1i ni\u1ec7m, ng\u01b0\u1eddi c\u00f3 kinh nghi\u1ec7m s\u1ebd ch\u1ec9 ra ngay l\u1ed7i t\u01b0 duy v\u00e0 gi\u00fap b\u1ea1n ti\u1ebft ki\u1ec7m th\u1eddi gian \u00f4n t\u1eadp.<\/span><\/li>\n<\/ol>\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;34159&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;458&quot;,&quot;legendonly&quot;:&quot;&quot;,&quot;readonly&quot;:&quot;&quot;,&quot;score&quot;:&quot;5&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;5\\\/5 - (458 votes)&quot;,&quot;size&quot;:&quot;24&quot;,&quot;title&quot;:&quot;Centroid l\u00e0 g\u00ec? C\u00f4ng th\u1ee9c tr\u1ecdng t\u00e2m tam gi\u00e1c, t\u00ednh ch\u1ea5t v\u00e0 b\u00e0i t\u1eadp minh h\u1ecda&quot;,&quot;width&quot;:&quot;142.5&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: 142.5px;\">\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            5\/5 - (458 votes)    <\/div>\n    <\/div>","protected":false},"excerpt":{"rendered":"<p>Trong h\u00ecnh h\u1ecdc, Centroid l\u00e0 tr\u1ecdng t\u00e2m c\u1ee7a tam gi\u00e1c, m\u1ed9t \u0111i\u1ec3m \u0111\u1eb7c bi\u1ec7t \u0111\u01b0\u1ee3c t\u1ea1o th\u00e0nh t\u1eeb giao \u0111i\u1ec3m c\u1ee7a ba \u0111\u01b0\u1eddng trung tuy\u1ebfn. \u0110\u00e2y l\u00e0 ki\u1ebfn th\u1ee9c quan tr\u1ecdng trong h\u00ecnh h\u1ecdc ph\u1eb3ng, th\u01b0\u1eddng xu\u1ea5t hi\u1ec7n trong c\u00e1c b\u00e0i to\u00e1n v\u1ec1 t\u1ecda \u0111\u1ed9, t\u1ef7 l\u1ec7 \u0111o\u1ea1n th\u1eb3ng v\u00e0 di\u1ec7n t\u00edch tam gi\u00e1c, bao [&#8230;]","protected":false},"author":24,"featured_media":34160,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"inline_featured_image":false,"footnotes":""},"categories":[1,285],"tags":[],"class_list":["post-34159","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-tin-tuc","category-sat"],"acf":[],"_links":{"self":[{"href":"https:\/\/etest.edu.vn\/en\/wp-json\/wp\/v2\/posts\/34159","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\/24"}],"replies":[{"embeddable":true,"href":"https:\/\/etest.edu.vn\/en\/wp-json\/wp\/v2\/comments?post=34159"}],"version-history":[{"count":1,"href":"https:\/\/etest.edu.vn\/en\/wp-json\/wp\/v2\/posts\/34159\/revisions"}],"predecessor-version":[{"id":34164,"href":"https:\/\/etest.edu.vn\/en\/wp-json\/wp\/v2\/posts\/34159\/revisions\/34164"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/etest.edu.vn\/en\/wp-json\/wp\/v2\/media\/34160"}],"wp:attachment":[{"href":"https:\/\/etest.edu.vn\/en\/wp-json\/wp\/v2\/media?parent=34159"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/etest.edu.vn\/en\/wp-json\/wp\/v2\/categories?post=34159"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/etest.edu.vn\/en\/wp-json\/wp\/v2\/tags?post=34159"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}