{"id":297691,"date":"2023-12-23T15:13:48","date_gmt":"2023-12-23T08:13:48","guid":{"rendered":"https:\/\/hoanghamobile.com\/tin-tuc\/?p=297691"},"modified":"2023-12-23T15:13:48","modified_gmt":"2023-12-23T08:13:48","slug":"duong-cao-tam-giac-can","status":"publish","type":"post","link":"https:\/\/hoanghamobile.com\/tin-tuc\/duong-cao-tam-giac-can\/","title":{"rendered":"C\u00e1ch t\u00ednh \u0111\u01b0\u1eddng cao tam gi\u00e1c c\u00e2n, vu\u00f4ng, \u0111\u1ec1u k\u00e8m b\u00e0i t\u1eadp"},"content":{"rendered":"<p><strong>Ngo\u00e0i c\u00e1c b\u00e0i t\u1eadp \u0111\u1ea1i s\u1ed1, c\u00e1c b\u1ea1n h\u1ecdc sinh l\u1edbp 5 c\u0169ng s\u1ebd ti\u1ebfp c\u1eadn v\u1edbi c\u00e1c b\u00e0i t\u1eadp li\u00ean quan \u0111\u1ebfn h\u00ecnh h\u1ecdc. Trong b\u00e0i vi\u1ebft n\u00e0y, Ho\u00e0ng H\u00e0 Mobile s\u1ebd t\u1ed5ng h\u1ee3p c\u00f4ng th\u1ee9c t\u00ednh \u0111\u01b0\u1eddng cao tam gi\u00e1c c\u00e2n, \u0111\u1ec1u, vu\u00f4ng, th\u01b0\u1eddng. B\u1ea1n c\u0169ng c\u00f3 th\u1ec3 xem m\u1ed9t s\u1ed1 d\u1ea1ng b\u00e0i t\u1eadp v\u00e0 l\u01b0u \u00fd \u0111\u1ec3 c\u00f3 th\u1ec3 \u00f4n t\u1eadp hi\u1ec7u qu\u1ea3 nh\u00e9!<\/strong><\/p>\n<h2>C\u00e1ch nh\u1eadn bi\u1ebft h\u00ecnh tam gi\u00e1c<\/h2>\n<p>H\u00ecnh h\u1ecdc l\u00e0 m\u1ed9t trong nh\u1eefng ph\u1ea7n ki\u1ebfn th\u1ee9c quan tr\u1ecdng trong ph\u00e2n ph\u1ed1i ch\u01b0\u01a1ng tr\u00ecnh c\u1ee7a c\u00e1c b\u1ea1n h\u1ecdc sinh. C\u00e1c d\u1ea1ng to\u00e1n v\u1edbi h\u00ecnh h\u1ecdc kh\u00f4ng ch\u1ec9 \u0111a d\u1ea1ng m\u00e0 c\u0169ng c\u00f3 r\u1ea5t nhi\u1ec1u c\u00f4ng th\u1ee9c c\u1ea7n ghi nh\u1edb \u0111\u1ec3 \u00e1p d\u1ee5ng. C\u00e1c b\u1ea1n h\u1ecdc sinh \u0111\u00e3 \u0111\u01b0\u1ee3c l\u00e0m quen v\u1edbi c\u00e1c h\u00ecnh h\u1ecdc t\u1eeb r\u1ea5t s\u1edbm. H\u00ecnh tam gi\u00e1c c\u0169ng kh\u00f4ng qu\u00e1 kh\u00f3 \u0111\u1ec3 nh\u1eadn bi\u1ebft.<\/p>\n<p>Trong to\u00e1n h\u1ecdc, kh\u00e1i ni\u1ec7m v\u1ec1 h\u00ecnh tam gi\u00e1c l\u00e0 m\u1ed9t h\u00ecnh c\u00f3 ba c\u1ea1nh ba \u0111\u1ec9nh, 3 c\u1ea1nh l\u00e0 3 \u0111o\u1ea1n th\u1eb3ng n\u1ed1i c\u00e1c \u0111\u1ec9nh \u0111\u00f3. Trong \u0111\u00f3, 3 \u0111\u1ec9nh c\u0169ng kh\u00f4ng th\u1eb3ng h\u00e0ng v\u1edbi nhau. Ch\u00ednh v\u00ec t\u00ednh ch\u1ea5t n\u00e0y, h\u00ecnh tam gi\u00e1c c\u00f3 ba g\u00f3c, v\u00e0 c\u00e1c g\u00f3c c\u00f3 \u0111\u1ed9 l\u1edbn kh\u00e1c nhau. C\u00e1c c\u1ea1nh c\u1ee7a h\u00ecnh tam gi\u00e1c c\u0169ng c\u00f3 \u0111\u1ed9 d\u00e0i kh\u00e1c nhau.<\/p>\n<p><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/duong-cao-tam-giac-can-1.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/duong-cao-tam-giac-can-1-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/duong-cao-tam-giac-can-1-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img fetchpriority=\"high\" decoding=\"async\" class=\"aligncenter wp-image-298732 size-full webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/duong-cao-tam-giac-can-1.jpg\" alt=\"duong-cao-tam-giac-can\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/duong-cao-tam-giac-can-1.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/duong-cao-tam-giac-can-1-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/duong-cao-tam-giac-can-1-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><\/p>\n<p>M\u1ed9t s\u1ed1 h\u00ecnh tam gi\u00e1c \u0111\u1eb7c bi\u1ec7t s\u1ebd c\u00f3 c\u00e1c c\u1ea1nh b\u1eb1ng nhau, ho\u1eb7c c\u00e1c g\u00f3c \u0111\u1ed9 \u0111\u1eb7c bi\u1ec7t, nh\u01b0 g\u00f3c vu\u00f4ng 90 \u0111\u1ed9 ch\u1eb3ng h\u1ea1ng. V\u00ec th\u1ebf \u0111\u00e3 t\u1ea1o n\u00ean m\u1ed9t s\u1ed1 tr\u01b0\u1eddng h\u1ee3p tam gi\u00e1c \u0111\u1eb7c bi\u1ec7t. V\u1eady \u0111\u01b0\u1eddng cao l\u00e0 g\u00ec v\u00e0 \u0111\u01b0\u1eddng cao tam gi\u00e1c c\u00e2n, \u0111\u1ec1u, vu\u00f4ng c\u00f3 kh\u00e1c g\u00ec so v\u1edbi tam gi\u00e1c th\u00f4ng th\u01b0\u1eddng?<\/p>\n<h2>\u0110\u01b0\u1eddng cao trong h\u00ecnh tam gi\u00e1c l\u00e0 g\u00ec?<\/h2>\n<p>Trong tam gi\u00e1c, ngo\u00e0i c\u00e1c c\u1ea1nh, c\u00e1c g\u00f3c, c\u00f2n m\u1ed9t y\u1ebfu t\u1ed1 n\u1eefa c\u1ea7n quan t\u00e2m \u0111\u00f3 l\u00e0 \u0111\u01b0\u1eddng cao. \u0110\u01b0\u1eddng cao trong tam gi\u00e1c b\u1ea5t k\u1ef3 \u0111\u01b0\u1ee3c hi\u1ec3u l\u00e0 m\u1ed9t \u0111o\u1ea1n k\u1ebb vu\u00f4ng g\u00f3c t\u1eeb \u0111\u1ec9nh \u0111\u1ebfn \u0111\u01b0\u1eddng th\u1eb3ng ch\u1ee9a c\u1ea1nh \u0111\u1ed1i di\u1ec7n. V\u00ed d\u1ee5 nh\u01b0 trong h\u00ecnh b\u00ean d\u01b0\u1edbi b\u1ea1n c\u00f3 th\u1ec3 th\u1ea5y, AH \u0111\u01b0\u1ee3c coi l\u00e0 \u0111\u01b0\u1eddng cao c\u1ee7a tam gi\u00e1c ABC. \u0110\u01b0\u1eddng cao AH xu\u1ea5t ph\u00e1t t\u1eeb \u0111\u1ec9nh A c\u1ee7a tam gi\u00e1c ABC.<\/p>\n<p><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/duong-cao-tam-giac-can-2.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/duong-cao-tam-giac-can-2-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/duong-cao-tam-giac-can-2-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img decoding=\"async\" class=\"aligncenter wp-image-298733 size-full webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/duong-cao-tam-giac-can-2.jpg\" alt=\"duong-cao-tam-giac-can\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/duong-cao-tam-giac-can-2.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/duong-cao-tam-giac-can-2-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/duong-cao-tam-giac-can-2-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><\/p>\n<p>Trong m\u1ed9t tam gi\u00e1c, v\u00ec c\u00f3 ba c\u1ea1nh n\u00ean c\u0169ng s\u1ebd c\u00f3 ba \u0111\u01b0\u1eddng cao t\u01b0\u01a1ng \u1ee9ng v\u1edbi c\u00e1c c\u1ea1nh \u0111\u00f3. \u0110\u01b0\u1eddng cao trong t\u1eebng lo\u1ea1i tam gi\u00e1c \u0111\u1eb7c bi\u1ec7t nh\u01b0 c\u00e2n, \u0111\u1ec1u ho\u1eb7c vu\u00f4ng s\u1ebd c\u00f3 th\u00eam m\u1ed9t s\u1ed1 t\u00ednh ch\u1ea5t \u0111\u1eb7c bi\u1ec7t. Tuy nhi\u00ean c\u01a1 b\u1ea3n n\u00f3 v\u1eabn \u0111\u1ea3m b\u1ea3o \u0111\u01b0\u1ee3c t\u00ednh ch\u1ea5t l\u00e0 vu\u00f4ng g\u00f3c v\u1edbi c\u1ea1nh \u0111\u1ed1i di\u1ec7n v\u00e0 \u0111\u01b0\u1ee3c k\u1ebb t\u1eeb m\u1ed9t \u0111\u1ec9nh c\u1ee7a tam gi\u00e1c.<\/p>\n<h2>C\u00f4ng th\u1ee9c t\u00ednh \u0111\u01b0\u1eddng cao tam gi\u00e1c c\u00e2n, \u0111\u1ec1u, vu\u00f4ng, th\u01b0\u1eddng<\/h2>\n<p>N\u1ebfu b\u1ea1n ch\u01b0a bi\u1ebft th\u00ec h\u1ea7u h\u1ebft c\u00e1c h\u00ecnh h\u1ecdc ph\u1eb3ng c\u01a1 b\u1ea3n \u0111\u1ec1u c\u00f3 r\u1ea5t nhi\u1ec1u c\u00f4ng th\u1ee9c \u0111\u1ec3 t\u00ednh c\u00e1c c\u1ea1nh, t\u00ednh chu vi, t\u00ednh di\u1ec7n t\u00edch. V\u00e0 trong tam gi\u00e1c c\u0169ng c\u00f3 r\u1ea5t nhi\u1ec1u c\u00f4ng th\u1ee9c \u0111\u1ec3 t\u00ednh \u0111\u01b0\u1eddng cao. Tuy nhi\u00ean, tu\u1ef3 theo t\u1eebng lo\u1ea1i tam gi\u00e1c \u0111\u1eb7c bi\u1ec7t th\u00ec \u0111\u01b0\u1eddng cao c\u1ee7a n\u00f3 s\u1ebd c\u00f3 nh\u1eefng c\u00e1ch t\u00ednh kh\u00e1c nhau.<\/p>\n<h3>Tr\u01b0\u1eddng h\u1ee3p 1: T\u00ednh \u0111\u01b0\u1eddng cao tam gi\u00e1c th\u01b0\u1eddng<\/h3>\n<p>\u0110\u1ed1i v\u1edbi tr\u01b0\u1eddng h\u1ee3p tam gi\u00e1c th\u00f4ng th\u01b0\u1eddng, l\u00e0 lo\u1ea1i tam gi\u00e1c c\u00f3 ba c\u1ea1nh, ba \u0111\u1ec9nh nh\u01b0 \u0111\u00e3 gi\u1edbi thi\u1ec7u \u1edf tr\u00ean. Ch\u00fang ta s\u1ebd \u00e1p d\u1ee5ng c\u00f4ng th\u1ee9c Heron \u0111\u1ec3 t\u00ednh \u0111\u01b0\u1ee3c \u0111\u01b0\u1eddng cao cho tam gi\u00e1c. Nh\u01b0 trong h\u00ecnh, b\u1ea1n s\u1ebd th\u1ea5y h\u00ecnh tam gi\u00e1c ABC c\u00f3 \u0111\u01b0\u1eddng cao h. \u0110\u1ec3 c\u00f3 th\u1ec3 t\u00ednh \u0111\u01b0\u1ee3c \u0111\u1ed9 d\u00e0i \u0111\u01b0\u1eddng cao h, ch\u00fang ta s\u1ebd \u00e1p d\u1ee5ng c\u00f4ng th\u1ee9c:<\/p>\n<p><img decoding=\"async\" class=\"lazy lightbox loaded aligncenter\" src=\"https:\/\/tex.vdoc.vn\/?tex=h_a%3D2%20%5Cfrac%7B%5Csqrt%7Bp(p-a)(p-b)(p-c)%7D%7D%7Ba%7D\" alt=\"h_a=2 \\frac{\\sqrt{p(p-a)(p-b)(p-c)}}{a}\" width=\"254\" height=\"48\" data-type=\"0\" data-latex=\"h_a=2 \\frac{\\sqrt{p(p-a)(p-b)(p-c)}}{a}\" data-src=\"https:\/\/tex.vdoc.vn?tex=h_a%3D2%20%5Cfrac%7B%5Csqrt%7Bp(p-a)(p-b)(p-c)%7D%7D%7Ba%7D\" data-i=\"1\" data-was-processed=\"true\" \/><\/p>\n<p>Trong \u0111\u00f3:<\/p>\n<p>a, b, c l\u1ea7n l\u01b0\u1ee3t l\u00e0 \u0111\u1ed9 d\u00e0i c\u00e1c c\u1ea1nh c\u1ee7a h\u00ecnh tam gi\u00e1c. Th\u00f4ng th\u01b0\u1eddng, \u0111\u1ec1 b\u00e0i s\u1ebd cho s\u1eb5n d\u1eef ki\u1ec7n n\u00e0y<\/p>\n<p>ha l\u00e0 \u0111\u01b0\u1eddng cao h \u0111\u01b0\u1ee3c k\u1ebb t\u1eeb \u0111\u1ec9nh A c\u1ee7a h\u00ecnh tam gi\u00e1c xu\u1ed1ng c\u1ea1nh BC.<\/p>\n<p>p l\u00e0 n\u1eeda chu vi c\u1ee7a h\u00ecnh tam gi\u00e1c ABC. N\u1eeda chu vi c\u1ee7a h\u00ecnh tam gi\u00e1c s\u1ebd t\u00ednh theo c\u00f4ng th\u1ee9c l\u00e0:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"lazy loaded aligncenter\" src=\"https:\/\/tex.vdoc.vn\/?tex=p%3D%5Cfrac%7B(a%2Bb%2Bc)%7D%7B2%7D\" alt=\"p=\\frac{(a+b+c)}{2}\" width=\"127\" height=\"42\" data-type=\"0\" data-latex=\"p=\\frac{(a+b+c)}{2}\" data-src=\"https:\/\/tex.vdoc.vn?tex=p%3D%5Cfrac%7B(a%2Bb%2Bc)%7D%7B2%7D\" data-i=\"2\" data-was-processed=\"true\" \/><\/p>\n<p><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/duong-cao-tam-giac-can-6.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/duong-cao-tam-giac-can-6-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/duong-cao-tam-giac-can-6-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-298734 size-full webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/duong-cao-tam-giac-can-6.jpg\" alt=\"duong-cao-tam-giac-can\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/duong-cao-tam-giac-can-6.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/duong-cao-tam-giac-can-6-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/duong-cao-tam-giac-can-6-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><\/p>\n<p>\u0110\u1ed1i v\u1edbi c\u00e1c b\u00e0i to\u00e1n t\u00ednh \u0111\u01b0\u1eddng cao cho \u0111\u1ed9 d\u00e0i c\u00e1c c\u1ea1nh, b\u1ea1n s\u1ebd c\u1ea7n l\u00e0m l\u1ea7n l\u01b0\u1ee3t t\u1eeb b\u01b0\u1edbc t\u00ednh n\u1eeda chu vi p tr\u01b0\u1edbc. Sau \u0111\u00f3 ch\u1ec9 c\u1ea7n \u00e1p d\u1ee5ng c\u00f4ng th\u1ee9c Heron tr\u00ean l\u00e0 c\u00f3 th\u1ec3 t\u00ednh \u0111\u01b0\u1ee3c \u0111\u1ed9 d\u00e0i \u0111\u01b0\u1eddng cao r\u1ed3i.<\/p>\n<p><strong>M\u1ed9t s\u1ed1 b\u00e0i t\u1eadp v\u00ed d\u1ee5:<\/strong><\/p>\n<p>B\u00e0i 1: Cho tam gi\u00e1c ABC, trong \u0111\u00f3 c\u1ea1nh AB = 3 cm, c\u1ea1nh BC = 7 cm, c\u1ea1nh AC = 6 cm. H\u00e3y t\u00ednh \u0111\u01b0\u1eddng cao AH k\u1ebb t\u1eeb A c\u1eaft BC t\u1ea1i H v\u00e0 di\u1ec7n t\u00edch c\u1ee7a h\u00ecnh tam gi\u00e1c ABC.<\/p>\n<p>B\u00e0i 2: Cho tam gi\u00e1c ABC, trong \u0111\u00f3 c\u1ea1nh AB = 5 cm, c\u1ea1nh BC = 9 cm, c\u1ea1nh AC = 4 cm. H\u00e3y t\u00ednh \u0111\u01b0\u1eddng cao BH k\u1ebb t\u1eeb B c\u1eaft AC t\u1ea1i H v\u00e0 di\u1ec7n t\u00edch c\u1ee7a h\u00ecnh tam gi\u00e1c ABC<\/p>\n<h3>Tr\u01b0\u1eddng h\u1ee3p 2: T\u00ednh \u0111\u01b0\u1eddng cao tam gi\u00e1c c\u00e2n<\/h3>\n<p>V\u1edbi tr\u01b0\u1eddng h\u1ee3p tam gi\u00e1c trong \u0111\u1ec1 b\u00e0i cho s\u1eb5n l\u00e0 tam gi\u00e1c c\u00e2n. B\u1ea1n c\u1ea7n ph\u1ea3i hi\u1ec3u qua v\u1ec1 t\u00ednh ch\u1ea5t c\u1ee7a lo\u1ea1i tam gi\u00e1c \u0111\u1eb7c bi\u1ec7t n\u00e0y. Tam gi\u00e1c c\u00e2n l\u00e0 m\u1ed9t h\u00ecnh tam gi\u00e1c m\u00e0 trong \u0111\u00f3 c\u00f3 hai c\u1ea1nh b\u1eb1ng nhau. Nh\u01b0 v\u1eady, \u0111\u1ec9nh c\u1ee7a tam gi\u00e1c c\u00e2n s\u1ebd l\u00e0 \u0111i\u1ec3m n\u1eb1m gi\u1eefa hai c\u1ea1nh b\u1eb1ng nhau. B\u1ea1n c\u00f3 th\u1ec3 xem h\u00ecnh minh ho\u1ea1 \u1edf d\u01b0\u1edbi \u0111\u1ec3 c\u00f3 th\u1ec3 hi\u1ec3u h\u01a1n. Khi k\u1ebb m\u1ed9t \u0111\u01b0\u1eddng cao t\u1eeb \u0111\u1ec9nh c\u00e2n c\u1ee7a gi\u00e1c, th\u00ec n\u00f3 s\u1ebd \u0111\u01b0\u1ee3c t\u00ednh theo c\u00f4ng th\u1ee9c nh\u01b0 sau:<\/p>\n<p>V\u00ed d\u1ee5 nh\u01b0 trong h\u00ecnh, tam gi\u00e1c ABC c\u00f3 hai c\u1ea1nh AC v\u00e0 AB b\u1eb1ng nhau, v\u00ec th\u1ebf n\u00f3 c\u00e2n t\u1ea1i \u0111\u1ec9nh A. Trong \u0111\u00f3, AH l\u00e0 \u0111\u01b0\u1eddng cao, th\u00ec AH s\u1ebd \u0111\u1ed3ng th\u1eddi l\u00e0 \u0111\u01b0\u1eddng trung tuy\u1ebfn, H l\u00e0 trung \u0111i\u1ec3m c\u1ee7a \u0111o\u1ea1n th\u1eb3ng BC. Nh\u01b0 v\u1eady:<\/p>\n<p style=\"text-align: center;\"><strong>\u21d2 HB=HC= \u00bdBC<\/strong><\/p>\n<p>L\u00fac n\u00e0y, ch\u00fang ta s\u1ebd \u00e1p d\u1ee5ng \u0111\u1ecbnh l\u00fd Pytago cho tam gi\u00e1c vu\u00f4ng ABH vu\u00f4ng t\u1ea1i H (ho\u1eb7c tam gi\u00e1c ACH) ta c\u00f3:<\/p>\n<p style=\"text-align: center;\"><strong>AH\u00b2+BH\u00b2=AB\u00b2<\/strong><\/p>\n<p style=\"text-align: center;\"><strong>\u21d2AH\u00b2=AB\u00b2\u2212BH\u00b2<\/strong><\/p>\n<p>V\u00ec t\u00ednh ch\u1ea5t \u0111\u1eb7c bi\u1ec7t c\u1ee7a h\u00ecnh n\u00e0y n\u00ean \u0111\u01b0\u1eddng cao tam gi\u00e1c c\u00e2n s\u1ebd \u0111\u01b0\u1ee3c \u00e1p d\u1ee5ng theo \u0111\u1ecbnh l\u00fd Pytago \u0111\u1ec3 t\u00ednh \u0111\u01b0\u1ee3c nh\u01b0 c\u00e1ch tr\u00ean.<\/p>\n<p><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/duong-cao-tam-giac-can-4.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/duong-cao-tam-giac-can-4-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/duong-cao-tam-giac-can-4-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-298736 size-full webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/duong-cao-tam-giac-can-4.jpg\" alt=\"duong-cao-tam-giac-can\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/duong-cao-tam-giac-can-4.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/duong-cao-tam-giac-can-4-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/duong-cao-tam-giac-can-4-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><\/p>\n<p><strong>M\u1ed9t s\u1ed1 b\u00e0i t\u1eadp v\u00ed d\u1ee5:<\/strong><\/p>\n<p>B\u00e0i 1: Cho tam gi\u00e1c ABC c\u00e2n t\u1ea1i A, c\u00f3 \u0111\u01b0\u1eddng cao AH, bi\u1ebft AB = AC = 5; BC = 4 cm. H\u00e3y t\u00ednh \u0111\u1ed9 d\u00e0i \u0111\u01b0\u1eddng cao AH v\u00e0 di\u1ec7n t\u00edch c\u1ee7a tam gi\u00e1c ABC.<\/p>\n<h3>Tr\u01b0\u1eddng h\u1ee3p 3: T\u00ednh \u0111\u01b0\u1eddng cao tam gi\u00e1c vu\u00f4ng<\/h3>\n<p>M\u1ed9t lo\u1ea1i th\u1ee9 h\u00ecnh \u0111\u1eb7c bi\u1ec7t th\u1ee9 ba b\u1ea1n c\u1ea7n bi\u1ebft \u0111\u00f3 l\u00e0 tam gi\u00e1c vu\u00f4ng. Theo kh\u00e1i ni\u1ec7m, tam gi\u00e1c vu\u00f4ng l\u00e0 tam gi\u00e1c c\u00f3 m\u1ed9t g\u00f3c trong \u0111\u00f3 l\u00e0 g\u00f3c vu\u00f4ng (hay g\u00f3c 90 \u0111\u1ed9). N\u00f3 s\u1ebd c\u00f3 m\u1ed9t s\u1ed1 t\u00ednh ch\u1ea5t \u0111\u1eb7c bi\u1ec7t v\u00e0 c\u00e1c c\u00f4ng th\u1ee9c li\u00ean quan \u0111\u1ec3 c\u00f3 th\u1ec3 t\u00ednh \u0111\u01b0\u1ee3c c\u00e1c c\u1ea1nh, c\u00e1c g\u00f3c trong h\u00ecnh kh\u00e1c. B\u1ea1n c\u00f3 th\u1ec3 xem trong h\u00ecnh b\u00ean d\u01b0\u1edbi \u0111\u00e2y.<\/p>\n<p>Gi\u1ea3 s\u1eed n\u1ebfu nh\u01b0 ABC l\u00e0 m\u1ed9t tam gi\u00e1c vu\u00f4ng t\u1ea1i A. Trong \u0111\u00f3 h l\u00e0 \u0111\u01b0\u1eddng cao \u0111\u01b0\u1ee3c k\u1ebb t\u1eeb \u0111i\u1ec3m A xu\u1ed1ng c\u1ea1nh \u0111\u1ed1i di\u1ec7n BC. V\u1eady th\u00ec, ta s\u1ebd c\u00f3 c\u00e1ch \u0111\u1ec3 c\u00e1c c\u1ea1nh v\u00e0 \u0111\u01b0\u1eddng cao trong tam gi\u00e1c vu\u00f4ng nh\u01b0 sau:<\/p>\n<p><strong>1. a<sup>2\u00a0<\/sup>= b<sup>2\u00a0<\/sup>+ c<sup>2<\/sup><\/strong><\/p>\n<p><strong>2. b<sup>2\u00a0<\/sup>= a.b\u2032 v\u00e0 c<sup>2\u00a0<\/sup>= a.c\u2032<\/strong><\/p>\n<p><strong>3. a.h = b.c<\/strong><\/p>\n<p><strong>4. h<sup>2\u00a0<\/sup>= b\u2032.c&#8217;<\/strong><\/p>\n<p><strong>5.\u00a0<img loading=\"lazy\" decoding=\"async\" class=\"lazy loaded\" src=\"https:\/\/tex.vdoc.vn\/?tex=%5Cfrac%7B1%7D%7Bh%5E2%7D%3D%5Cfrac%7B1%7D%7Bb%5E2%7D%2B%5Cfrac%7B1%7D%7Bc%5E2%7D\" alt=\"\\frac{1}{h^2}=\\frac{1}{b^2}+\\frac{1}{c^2}\" width=\"120\" height=\"41\" data-type=\"0\" data-latex=\"\\frac{1}{h^2}=\\frac{1}{b^2}+\\frac{1}{c^2}\" data-src=\"https:\/\/tex.vdoc.vn?tex=%5Cfrac%7B1%7D%7Bh%5E2%7D%3D%5Cfrac%7B1%7D%7Bb%5E2%7D%2B%5Cfrac%7B1%7D%7Bc%5E2%7D\" data-i=\"11\" data-was-processed=\"true\" \/><\/strong><\/p>\n<p>Trong \u0111\u00f3 ta c\u00f3:<\/p>\n<p>a, b, c l\u00e0 \u0111\u1ed9 d\u00e0i c\u00e1c c\u1ea1nh c\u1ee7a tam gi\u00e1c vu\u00f4ng ABC tr\u00ean h\u00ecnh.<\/p>\n<p>b&#8217; \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 \u0111\u01b0\u1eddng chi\u1ebfu c\u1ee7a c\u1ea1nh b<\/p>\n<p>c&#8217; \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 \u0111\u01b0\u1eddng chi\u1ebfu c\u1ee7a c\u1ea1nh c<\/p>\n<p>h ch\u00ednh l\u00e0 \u0111\u01b0\u1eddng cao c\u1ee7a tam gi\u00e1c vu\u00f4ng k\u1ebb t\u1eeb \u0111\u1ec9nh A xu\u1ed1ng c\u1ea1nh huy\u1ec1n BC.<\/p>\n<p><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/duong-cao-tam-giac-can-7.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/duong-cao-tam-giac-can-7-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/duong-cao-tam-giac-can-7-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-298737 size-full webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/duong-cao-tam-giac-can-7.jpg\" alt=\"duong-cao-tam-giac-can\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/duong-cao-tam-giac-can-7.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/duong-cao-tam-giac-can-7-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/duong-cao-tam-giac-can-7-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><\/p>\n<p>V\u00ec tam gi\u00e1c ABC vu\u00f4ng \u1edf \u0111\u1ec9nh A c\u00f3 nh\u1eefng t\u00ednh ch\u1ea5t kh\u00e1c bi\u1ec7t so v\u1edbi \u0111\u01b0\u1eddng cao tam gi\u00e1c c\u00e2n v\u00ec th\u1ebf b\u1ea1n c\u0169ng c\u1ea7n ghi nh\u1edb c\u00f4ng th\u1ee9c tr\u00ean \u0111\u1ec3 c\u00f3 th\u1ec3 gi\u1ea3i c\u00e1c b\u00e0i to\u00e1n li\u00ean quan \u0111\u1ebfn lo\u1ea1i tam gi\u00e1c n\u00e0y.<\/p>\n<p><strong>M\u1ed9t s\u1ed1 b\u00e0i t\u1eadp v\u00ed d\u1ee5:<\/strong><\/p>\n<p>B\u00e0i 1: Cho tam gi\u00e1c ABC vu\u00f4ng t\u1ea1i A, c\u00f3 \u0111\u01b0\u1eddng cao AH, bi\u1ebft AB : AC = 3; AB + AC = 21cm. H\u00e3y t\u00ednh \u0111\u1ed9 d\u00e0i c\u00e1c c\u1ea1nh c\u1ee7a tam gi\u00e1c ABC v\u00e0 t\u00ednh \u0111\u01b0\u1eddng cao AH.<\/p>\n<h3>Tr\u01b0\u1eddng h\u1ee3p 4: T\u00ednh \u0111\u01b0\u1eddng cao tam gi\u00e1c \u0111\u1ec1u<\/h3>\n<p>Cu\u1ed1i c\u00f9ng, m\u1ed9t lo\u1ea1i tam gi\u00e1c \u0111\u1eb7c bi\u1ec7t kh\u00e1c \u0111\u00f3 l\u00e0 tam gi\u00e1c \u0111\u1ec1u. Trong h\u00ecnh h\u1ecdc ph\u1eb3ng, tam gi\u00e1c \u0111\u1ec1u \u0111\u01b0\u01a1c \u0111\u1ecbnh ngh\u0129a l\u00e0 lo\u1ea1i tam gi\u00e1c c\u00f3 ba c\u1ea1nh b\u1eb1ng nhau. T\u01b0\u01a1ng \u0111\u01b0\u01a1ng v\u1edbi \u0111\u00f3 ch\u00fang ta c\u0169ng s\u1ebd c\u00f3 ba g\u00f3c b\u1eb1ng nhau. V\u00ec t\u1ed5ng c\u00e1c g\u00f3c trong m\u1ed9t tam gi\u00e1c b\u1eb1ng 180 \u0111\u1ed9 do \u0111\u00f3 h\u00ecnh tam gi\u00e1c \u0111\u1ec1u s\u1ebd c\u00f3 ba g\u00f3c 60 \u0111\u1ed9. \u0110\u00e2y l\u00e0 lo\u1ea1i tam gi\u00e1c c\u00f2n \u0111\u1eb7c bi\u1ec7t h\u01a1n c\u1ea3 tam gi\u00e1c c\u00e2n. V\u00ec th\u1ebf, c\u00e1ch t\u00ednh \u0111\u01b0\u1eddng cao c\u1ee7a n\u00f3 c\u0169ng c\u00f3 nh\u1eefng kh\u00e1c bi\u1ec7t trong c\u00f4ng th\u1ee9c.<\/p>\n<p>Gi\u1ea3 s\u1eed nh\u01b0 tam gi\u00e1c ABC trong h\u00ecnh l\u00e0 m\u1ed9t tam gi\u00e1c \u0111\u1ec1u. Nh\u01b0 v\u1eady, c\u1ea1nh AB, AC hay BC \u0111\u1ec1u c\u00f3 m\u1ed9t \u0111\u1ed9 d\u00e0i chung l\u00e0 a. Khi \u0111\u00f3, ta k\u1ebb m\u1ed9t \u0111\u01b0\u1eddng vu\u00f4ng g\u00f3c t\u1eeb \u0111\u1ec9nh A xu\u1ed1ng c\u1ea1nh BC. L\u00fac n\u00e0y, h l\u00e0 \u0111\u01b0\u1eddng cao c\u1ee7a tam gi\u00e1c \u0111\u1ec1u ABC. Thay v\u00ec t\u00ednh nh\u01b0 \u0111\u01b0\u1eddng cao tam gi\u00e1c c\u00e2n, b\u1ea1n s\u1ebd c\u1ea7n \u00e1p d\u1ee5ng c\u00f4ng th\u1ee9c nh\u01b0 sau:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"lazy loaded aligncenter\" src=\"https:\/\/tex.vdoc.vn\/?tex=h%3Da%20%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D\" alt=\"h=a \\frac{\\sqrt{3}}{2}\" width=\"77\" height=\"45\" data-type=\"0\" data-latex=\"h=a \\frac{\\sqrt{3}}{2}\" data-src=\"https:\/\/tex.vdoc.vn?tex=h%3Da%20%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D\" data-i=\"9\" data-was-processed=\"true\" \/><\/p>\n<p>Trong \u0111\u00f3 ta c\u00f3:<\/p>\n<p>h l\u00e0 \u0111\u01b0\u1eddng cao c\u1ee7a tam gi\u00e1c \u0111\u1ec1u.<\/p>\n<p>a l\u00e0 \u0111\u1ed9 d\u00e0i c\u1ea1nh c\u1ee7a tam gi\u00e1c \u0111\u1ec1u.<\/p>\n<p><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/duong-cao-tam-giac-can-5.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/duong-cao-tam-giac-can-5-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/duong-cao-tam-giac-can-5-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-298738 size-full webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/duong-cao-tam-giac-can-5.jpg\" alt=\"duong-cao-tam-giac-can\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/duong-cao-tam-giac-can-5.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/duong-cao-tam-giac-can-5-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/duong-cao-tam-giac-can-5-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><\/p>\n<p>T\u00f3m l\u1ea1i, m\u1ed7i lo\u1ea1i h\u00ecnh tam gi\u00e1c s\u1ebd c\u00f3 c\u00f4ng th\u1ee9c t\u00ednh kh\u00e1c nhau. B\u1ea1n c\u1ea7n ph\u1ea3i n\u1eafm v\u1eefng c\u00e1c c\u00f4ng th\u1ee9c v\u00e0 t\u00ednh ch\u1ea5t ri\u00eang c\u1ee7a t\u1eebng lo\u1ea1i m\u1edbi c\u00f3 th\u1ec3 gi\u1ea3i \u0111\u01b0\u1ee3c c\u00e1c b\u00e0i to\u00e1n li\u00ean quan \u0111\u1ebfn t\u00ednh \u0111\u01b0\u1eddng cao trong tam gi\u00e1c.<\/p>\n<p><strong>M\u1ed9t s\u1ed1 b\u00e0i t\u1eadp v\u00ed d\u1ee5:<\/strong><\/p>\n<p>B\u00e0i 1: Cho tam gi\u00e1c ABC l\u00e0 tam gi\u00e1c \u0111\u1ec1u v\u1edbi \u0111\u01b0\u1eddng cao AH, bi\u1ebft m\u1ed7i c\u1ea1nh c\u1ee7a h\u00ecnh tam gi\u00e1c n\u00e0y c\u00f3 \u0111\u1ed9 d\u00e0i b\u1eb1ng 6. H\u00e3y t\u00ednh \u0111\u1ed9 d\u00e0i \u0111\u01b0\u1eddng cao AH v\u00e0 di\u1ec7n t\u00edch c\u1ee7a h\u00ecnh tam gi\u00e1c ABC.<\/p>\n<h2>M\u1ed9t s\u1ed1 t\u00ednh ch\u1ea5t kh\u00e1c c\u1ee7a \u0111\u01b0\u1eddng cao trong tam gi\u00e1c<\/h2>\n<p>Ngo\u00e0i nh\u1eefng c\u00f4ng th\u1ee9c tr\u00ean \u0111\u1ec3 b\u1ea1n c\u00f3 th\u1ec3 t\u00ednh \u0111\u01b0\u1ee3c \u0111\u01b0\u1eddng cao tam gi\u00e1c c\u00e2n, \u0111\u1ec1u, vu\u00f4ng v\u00e0 th\u01b0\u1eddng, c\u00e1c \u0111\u01b0\u1eddng cao trong tam gi\u00e1c c\u0169ng c\u00f3 r\u1ea5t nhi\u1ec1u t\u00ednh ch\u1ea5t kh\u00e1c b\u1ea1n n\u00ean bi\u1ebft \u0111\u1ec3 \u00e1p d\u1ee5ng khi c\u1ea7n.<\/p>\n<ul>\n<li>Ba \u0111\u01b0\u1eddng cao trong m\u1ed9t tam gi\u00e1c s\u1ebd c\u00f9ng \u0111i qua m\u1ed9t \u0111i\u1ec3m. \u0110i\u1ec3m \u0111\u00f3 g\u1ecdi l\u00e0 tr\u1ef1c t\u00e2m c\u1ee7a tam gi\u00e1c.<\/li>\n<li>Trong tam gi\u00e1c c\u00e2n, \u0111\u01b0\u1eddng cao t\u01b0\u01a1ng \u1ee9ng v\u1edbi \u0111\u00e1y k\u1ebb t\u1eeb \u0111\u1ec9nh c\u1ee7a hai c\u1ea1nh b\u1eb1ng nhau s\u1ebd \u0111\u1ed3ng th\u1eddi l\u00e0 \u0111\u01b0\u1eddng ph\u00e2n gi\u00e1c, \u0111\u01b0\u1eddng trung tuy\u1ebfn, \u0111\u01b0\u1eddng trung tr\u1ef1c.<\/li>\n<li>Trong tam gi\u00e1c \u0111\u1ec1u, c\u00e1c \u0111i\u1ec3m: tr\u1ecdng t\u00e2m, tr\u1ef1c t\u00e2m s\u1ebd n\u1eb1m trong tam gi\u00e1c v\u00e0 c\u00e1ch \u0111\u1ec1u 3 \u0111\u1ec9nh, 3 c\u1ea1nh.<\/li>\n<\/ul>\n<p><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/duong-cao-tam-giac-can-9.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/duong-cao-tam-giac-can-9-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/duong-cao-tam-giac-can-9-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-298739 size-full webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/duong-cao-tam-giac-can-9.jpg\" alt=\"duong-cao-tam-giac-can\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/duong-cao-tam-giac-can-9.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/duong-cao-tam-giac-can-9-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/duong-cao-tam-giac-can-9-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><\/p>\n<h2>Nh\u1eefng l\u01b0u \u00fd khi l\u00e0m d\u1ea1ng to\u00e1n t\u00ednh \u0111\u01b0\u1eddng cao tam gi\u00e1c c\u00e2n, vu\u00f4ng, \u0111\u1ec1u, th\u01b0\u1eddng<\/h2>\n<p>D\u1ea1ng to\u00e1n t\u00ednh \u0111\u1ed9 d\u00e0i \u0111\u01b0\u1eddng cao trong tam gi\u00e1c c\u01a1 b\u1ea3n kh\u00f4ng ph\u1ea3i m\u1ed9t d\u1ea1ng to\u00e1n kh\u00f3. Tuy nhi\u00ean, n\u1ebfu b\u1ea1n kh\u00f4ng n\u1eafm v\u1eefng c\u00e1c l\u01b0u \u00fd sau th\u00ec v\u1eabn c\u00f3 th\u1ec3 b\u1ecb m\u1ea5t \u0111i\u1ec3m khi l\u00e0m b\u00e0i.<\/p>\n<p>\u0110\u1ea7u ti\u00ean, b\u1ea1n ph\u1ea3i x\u00e1c \u0111\u1ecbnh \u0111\u00fang lo\u1ea1i tam gi\u00e1c m\u00e0 \u0111\u1ec1 cho. \u0110\u00f3 l\u00e0 tam gi\u00e1c th\u01b0\u1eddng, vu\u00f4ng, c\u00e2n hay \u0111\u1ec1u v\u00e0 \u0111i k\u00e8m v\u1edbi \u0111\u00f3 l\u00e0 nh\u1eefng d\u1eef ki\u1ec7n g\u00ec. Vi\u1ec7c x\u00e1c \u0111\u1ecbnh \u0111\u00fang lo\u1ea1i tam gi\u00e1c s\u1ebd gi\u00fap b\u1ea1n x\u00e1c \u0111\u1ecbnh \u0111\u01b0\u1ee3c c\u00e1ch l\u00e0m \u0111\u00fang.<\/p>\n<p>Sau \u0111\u00f3, h\u00e3y \u00f4n t\u1eadp v\u00e0 nh\u1edb k\u1ef9 c\u00e1c c\u00f4ng th\u1ee9c. D\u1ef1a tr\u00ean nh\u1eefng d\u1eef ki\u1ec7n m\u00e0 \u0111\u1ec1 b\u00e0i cho \u0111\u1ec3 \u00e1p d\u1ee5ng v\u00e0o t\u1eebng c\u00f4ng th\u1ee9c sao cho ph\u00f9 h\u1ee3p.<\/p>\n<p><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/duong-cao-tam-giac-can-8.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/duong-cao-tam-giac-can-8-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/duong-cao-tam-giac-can-8-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-298740 size-full webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/duong-cao-tam-giac-can-8.jpg\" alt=\"duong-cao-tam-giac-can\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/duong-cao-tam-giac-can-8.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/duong-cao-tam-giac-can-8-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/duong-cao-tam-giac-can-8-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><\/p>\n<p>M\u1ed9t l\u01b0u \u00fd n\u1eefa khi l\u00e0m b\u00e0i t\u1eadp v\u1ec1 h\u00ecnh tam gi\u00e1c \u0111\u00f3 l\u00e0 c\u00e1c \u0111\u1ea1i l\u01b0\u1ee3ng ph\u1ea3i c\u00f9ng m\u1ed9t \u0111\u01a1n v\u1ecb \u0111o. Th\u00f4ng th\u01b0\u1eddng c\u00e1c b\u00e0i to\u00e1n s\u1ebd c\u00f3 nh\u1eefng d\u1eef ki\u1ec7n kh\u00e1c \u0111\u01a1n v\u1ecb \u0111o \u0111\u1ec3 t\u0103ng m\u1ee9c \u0111\u1ed9 kh\u00f3 cho t\u1eebng b\u00e0i. V\u00ec th\u1ebf b\u1ea1n h\u00e3y l\u01b0u \u00fd \u0111\u01a1n v\u1ecb \u0111\u1ec3 tr\u00e1nh l\u1ed7i sai n\u00e0y nh\u00e9. Cu\u1ed1i c\u00f9ng l\u00e0 ki\u1ec3m tra k\u1ef9 l\u1ea1i b\u00e0i tr\u01b0\u1edbc khi n\u1ed9p \u0111\u1ec3 \u0111\u1ea1t \u0111\u01b0\u1ee3c \u0111i\u1ec3m s\u1ed1 cao nh\u1ea5t.<\/p>\n<h2>T\u1ea1m k\u1ebft<\/h2>\n<p>Ho\u00e0ng H\u00e0 Mobile \u0111\u00e3 gi\u1edbi thi\u1ec7u cho b\u1ea1n c\u00f4ng th\u1ee9c t\u00ednh \u0111\u01b0\u1eddng cao tam gi\u00e1c c\u00e2n, vu\u00f4ng, \u0111\u1ec1u v\u00e0 th\u01b0\u1eddng. B\u1ea1n c\u00f3 th\u1ec3 xem m\u1ed9t s\u1ed1 b\u00e0i t\u1eadp \u00e1p d\u1ee5ng v\u00e0 l\u01b0u \u00fd \u0111\u1ec3 l\u00e0m b\u00e0i \u0111\u1ea1t k\u1ebft qu\u1ea3 t\u1ed1t nh\u1ea5t nh\u00e9<\/p>\n<p>Tr\u00ean \u0111\u00e2y l\u00e0 b\u00e0i vi\u1ebft th\u00f4ng tin v\u1ec1 c\u00f4ng th\u1ee9c t\u00ednh \u0111\u01b0\u1eddng cao tam gi\u00e1c c\u00e2n, vu\u00f4ng, \u0111\u1ec1u v\u00e0 th\u01b0\u1eddng. N\u1ed9i dung n\u00e0y c\u00f3 h\u1eefu \u00edch v\u1edbi b\u1ea1n kh\u00f4ng? H\u00e3y \u0111\u1ec3 l\u1ea1i comment b\u00ean d\u01b0\u1edbi nh\u00e9. Ho\u00e0ng H\u00e0 Mobile s\u1ebd ti\u1ebfp t\u1ee5c c\u1eadp nh\u1eadt th\u00f4ng tin trong th\u1eddi gian t\u1edbi. H\u00e3y theo d\u00f5i trang tin t\u1ee9c <b>Ho\u00e0ng H\u00e0 Mobile<\/b>\u00a0\u0111\u1ec3 c\u1eadp nh\u1eadt nh\u1eefng th\u00f4ng tin c\u00f4ng ngh\u1ec7 m\u1edbi nh\u1ea5t nh\u00e9. V\u00e0 \u0111\u1eebng qu\u00ean truy c\u1eadp k\u00eanh YouTube\u00a0<b>Ho\u00e0ng H\u00e0 Channel<\/b>\u00a0\u0111\u1ec3 c\u1eadp nh\u1eadt nhi\u1ec1u h\u01a1n nh\u1eefng tin t\u1ee9c c\u00f4ng ngh\u1ec7 n\u00f3ng h\u1ed5i.<\/p>\n<p>Xem th\u00eam:<\/p>\n<ul>\n<li class=\"elementor-heading-title elementor-size-default\"><strong><a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/so-thuc-la-gi\/\">S\u1ed1 th\u1ef1c l\u00e0 g\u00ec? M\u1ed9t s\u1ed1 d\u1ea1ng to\u00e1n h\u1ecdc ph\u1ed5 bi\u1ebfn v\u1ec1 s\u1ed1 th\u1ef1c<\/a><\/strong><\/li>\n<li class=\"elementor-heading-title elementor-size-default\"><strong><a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/giai-phuong-trinh-bac-2\/\">C\u00e1ch gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc 2 nhanh ch\u00f3ng nh\u1ea5t<\/a><\/strong><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Ngo\u00e0i c\u00e1c b\u00e0i t\u1eadp \u0111\u1ea1i s\u1ed1, c\u00e1c b\u1ea1n h\u1ecdc sinh l\u1edbp 5 c\u0169ng s\u1ebd ti\u1ebfp c\u1eadn v\u1edbi c\u00e1c b\u00e0i t\u1eadp li\u00ean quan \u0111\u1ebfn h\u00ecnh h\u1ecdc. Trong b\u00e0i vi\u1ebft n\u00e0y, Ho\u00e0ng H\u00e0 Mobile s\u1ebd t\u1ed5ng h\u1ee3p c\u00f4ng th\u1ee9c t\u00ednh \u0111\u01b0\u1eddng cao tam gi\u00e1c c\u00e2n, \u0111\u1ec1u, vu\u00f4ng, th\u01b0\u1eddng. B\u1ea1n c\u0169ng c\u00f3 th\u1ec3 xem m\u1ed9t s\u1ed1 d\u1ea1ng b\u00e0i [&hellip;]<\/p>\n","protected":false},"author":38,"featured_media":298731,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3910,30453],"tags":[],"class_list":["post-297691","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-kham-pha","category-kien-thuc"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v24.2 (Yoast SEO v24.2) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>C\u00e1ch t\u00ednh \u0111\u01b0\u1eddng cao tam gi\u00e1c c\u00e2n, vu\u00f4ng, \u0111\u1ec1u k\u00e8m b\u00e0i t\u1eadp<\/title>\n<meta name=\"description\" content=\"Ho\u00e0ng H\u00e0 Mobile s\u1ebd t\u1ed5ng h\u1ee3p c\u00f4ng th\u1ee9c t\u00ednh \u0111\u01b0\u1eddng cao tam gi\u00e1c c\u00e2n, \u0111\u1ec1u, vu\u00f4ng, th\u01b0\u1eddng. B\u1ea1n c\u0169ng c\u00f3 th\u1ec3 xem m\u1ed9t s\u1ed1 d\u1ea1ng b\u00e0i t\u1eadp \u00e1p d\u1ee5ng nh\u00e9!\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/hoanghamobile.com\/tin-tuc\/duong-cao-tam-giac-can\/\" \/>\n<meta property=\"og:locale\" content=\"vi_VN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"C\u00e1ch t\u00ednh \u0111\u01b0\u1eddng cao tam gi\u00e1c c\u00e2n, vu\u00f4ng, \u0111\u1ec1u k\u00e8m b\u00e0i t\u1eadp\" \/>\n<meta property=\"og:description\" content=\"Ho\u00e0ng H\u00e0 Mobile s\u1ebd t\u1ed5ng h\u1ee3p c\u00f4ng th\u1ee9c t\u00ednh \u0111\u01b0\u1eddng cao tam gi\u00e1c c\u00e2n, \u0111\u1ec1u, vu\u00f4ng, th\u01b0\u1eddng. 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