{"id":567147,"date":"2026-07-22T10:57:20","date_gmt":"2026-07-22T03:57:20","guid":{"rendered":"https:\/\/hoanghamobile.com\/tin-tuc\/?p=567147"},"modified":"2026-07-22T10:57:20","modified_gmt":"2026-07-22T03:57:20","slug":"dinh-ly-pytago","status":"publish","type":"post","link":"https:\/\/hoanghamobile.com\/tin-tuc\/dinh-ly-pytago\/","title":{"rendered":"\u0110\u1ecbnh l\u00fd Pytago: c\u00f4ng th\u1ee9c, \u0111\u1ecbnh l\u00fd \u0111\u1ea3o, v\u00ed d\u1ee5 \u00e1p d\u1ee5ng"},"content":{"rendered":"<p>\u0110\u1ecbnh l\u00fd Pytago ph\u00e1t bi\u1ec3u r\u1eb1ng trong m\u1ed9t tam gi\u00e1c vu\u00f4ng, b\u00ecnh ph\u01b0\u01a1ng \u0111\u1ed9 d\u00e0i c\u1ea1nh huy\u1ec1n lu\u00f4n b\u1eb1ng t\u1ed5ng b\u00ecnh ph\u01b0\u01a1ng \u0111\u1ed9 d\u00e0i hai c\u1ea1nh g\u00f3c vu\u00f4ng, vi\u1ebft g\u1ecdn l\u00e0 c\u00b2 = a\u00b2 + b\u00b2. \u0110\u00e2y l\u00e0 \u0111\u1ecbnh l\u00fd n\u1ec1n t\u1ea3ng c\u1ee7a H\u00ecnh h\u1ecdc l\u1edbp 7, gi\u00fap b\u1ea1n t\u00ednh nhanh c\u1ea1nh c\u00f2n thi\u1ebfu c\u1ee7a tam gi\u00e1c vu\u00f4ng, ki\u1ec3m tra m\u1ed9t tam gi\u00e1c c\u00f3 vu\u00f4ng hay kh\u00f4ng, v\u00e0 gi\u1ea3i c\u00e1c b\u00e0i to\u00e1n th\u1ef1c t\u1ebf nh\u01b0 \u0111o chi\u1ec1u cao, t\u00ednh \u0111\u01b0\u1eddng ch\u00e9o. B\u1ea1n s\u1ebd t\u00ecm th\u1ea5y c\u00f4ng th\u1ee9c \u0111\u1ea7y \u0111\u1ee7, \u0111\u1ecbnh l\u00fd Pytago \u0111\u1ea3o, b\u1ea3ng b\u1ed9 ba s\u1ed1 Pytago th\u01b0\u1eddng g\u1eb7p, c\u00f9ng v\u00ed d\u1ee5 v\u00e0 b\u00e0i t\u1eadp c\u00f3 l\u1eddi gi\u1ea3i t\u1eebng b\u01b0\u1edbc ngay b\u00ean d\u01b0\u1edbi.<\/p>\n<h2>\u0110\u1ecbnh l\u00fd Pytago l\u00e0 g\u00ec?<\/h2>\n<p>\u0110\u1ecbnh l\u00fd Pytago (Pythagoras) l\u00e0 h\u1ec7 th\u1ee9c li\u00ean h\u1ec7 ba c\u1ea1nh c\u1ee7a m\u1ed9t tam gi\u00e1c vu\u00f4ng, ch\u1ec9 \u00e1p d\u1ee5ng ri\u00eang cho lo\u1ea1i tam gi\u00e1c n\u00e0y.<\/p>\n<p>Trong tam gi\u00e1c vu\u00f4ng, c\u1ea1nh \u0111\u1ed1i di\u1ec7n g\u00f3c vu\u00f4ng g\u1ecdi l\u00e0 c\u1ea1nh huy\u1ec1n \u2014 c\u0169ng l\u00e0 c\u1ea1nh d\u00e0i nh\u1ea5t. Hai c\u1ea1nh c\u00f2n l\u1ea1i t\u1ea1o th\u00e0nh g\u00f3c vu\u00f4ng, g\u1ecdi l\u00e0 hai c\u1ea1nh g\u00f3c vu\u00f4ng. \u0110\u1ecbnh l\u00fd kh\u1eb3ng \u0111\u1ecbnh: b\u00ecnh ph\u01b0\u01a1ng c\u1ea1nh huy\u1ec1n b\u1eb1ng t\u1ed5ng b\u00ecnh ph\u01b0\u01a1ng hai c\u1ea1nh g\u00f3c vu\u00f4ng. Nh\u1edd \u0111\u00f3, ch\u1ec9 c\u1ea7n bi\u1ebft hai trong ba c\u1ea1nh l\u00e0 t\u00ednh \u0111\u01b0\u1ee3c c\u1ea1nh c\u00f2n l\u1ea1i m\u00e0 kh\u00f4ng c\u1ea7n \u0111o tr\u1ef1c ti\u1ebfp.<\/p>\n<p><img fetchpriority=\"high\" decoding=\"async\" class=\"size-full wp-image-568885 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/dinh-ly-pytago-1.jpg\" alt=\"dinh-ly-pytago-1\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/dinh-ly-pytago-1.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/dinh-ly-pytago-1-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/dinh-ly-pytago-1-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2>C\u00f4ng th\u1ee9c \u0111\u1ecbnh l\u00fd Pytago<\/h2>\n<p>V\u1edbi tam gi\u00e1c vu\u00f4ng c\u00f3 hai c\u1ea1nh g\u00f3c vu\u00f4ng a, b v\u00e0 c\u1ea1nh huy\u1ec1n c, c\u00f4ng th\u1ee9c l\u00e0 c\u00b2 = a\u00b2 + b\u00b2.<\/p>\n<p>T\u1eeb c\u00f4ng th\u1ee9c g\u1ed1c, c\u00f3 th\u1ec3 bi\u1ebfn \u0111\u1ed5i \u0111\u1ec3 t\u00ednh t\u1eebng c\u1ea1nh:<\/p>\n<ul>\n<li>T\u00ednh c\u1ea1nh huy\u1ec1n: c = \u221a(a\u00b2 + b\u00b2)<\/li>\n<li>T\u00ednh c\u1ea1nh g\u00f3c vu\u00f4ng a: a = \u221a(c\u00b2 \u2212 b\u00b2)<\/li>\n<li>T\u00ednh c\u1ea1nh g\u00f3c vu\u00f4ng b: b = \u221a(c\u00b2 \u2212 a\u00b2)<\/li>\n<\/ul>\n<p>B\u1ea1n c\u1ea7n x\u00e1c \u0111\u1ecbnh \u0111\u00fang \u0111\u00e2u l\u00e0 c\u1ea1nh huy\u1ec1n (c\u1ea1nh d\u00e0i nh\u1ea5t, \u0111\u1ed1i di\u1ec7n g\u00f3c vu\u00f4ng) tr\u01b0\u1edbc khi thay s\u1ed1, v\u00ec nh\u1ea7m v\u1ecb tr\u00ed c v\u1edbi a ho\u1eb7c b s\u1ebd ra k\u1ebft qu\u1ea3 sai.<\/p>\n<p><img decoding=\"async\" class=\"size-full wp-image-568886 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/dinh-ly-pytago-2.jpg\" alt=\"dinh-ly-pytago-2\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/dinh-ly-pytago-2.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/dinh-ly-pytago-2-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/dinh-ly-pytago-2-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2>\u0110\u1ecbnh l\u00fd Pytago \u0111\u1ea3o<\/h2>\n<p>\u0110\u1ecbnh l\u00fd Pytago \u0111\u1ea3o d\u00f9ng \u0111\u1ec3 ki\u1ec3m tra m\u1ed9t tam gi\u00e1c c\u00f3 ph\u1ea3i tam gi\u00e1c vu\u00f4ng hay kh\u00f4ng, ch\u1ec9 d\u1ef1a v\u00e0o \u0111\u1ed9 d\u00e0i ba c\u1ea1nh.<\/p>\n<p>Ph\u00e1t bi\u1ec3u: n\u1ebfu tam gi\u00e1c c\u00f3 ba c\u1ea1nh a, b, c th\u1ecfa a\u00b2 + b\u00b2 = c\u00b2 (c l\u00e0 c\u1ea1nh d\u00e0i nh\u1ea5t) th\u00ec tam gi\u00e1c \u0111\u00f3 l\u00e0 tam gi\u00e1c vu\u00f4ng, g\u00f3c vu\u00f4ng n\u1eb1m \u0111\u1ed1i di\u1ec7n c\u1ea1nh c. V\u00ed d\u1ee5, tam gi\u00e1c 3, 4, 5: v\u00ec 3\u00b2 + 4\u00b2 = 9 + 16 = 25 = 5\u00b2, n\u00ean \u0111\u00e2y l\u00e0 tam gi\u00e1c vu\u00f4ng. \u0110\u1ecbnh l\u00fd \u0111\u1ea3o th\u01b0\u1eddng d\u00f9ng trong x\u00e2y d\u1ef1ng \u0111\u1ec3 ki\u1ec3m tra g\u00f3c vu\u00f4ng m\u00e0 kh\u00f4ng c\u1ea7n th\u01b0\u1edbc \u0111o g\u00f3c.<\/p>\n<p><img decoding=\"async\" class=\"size-full wp-image-568887 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/dinh-ly-pytago-3.jpg\" alt=\"dinh-ly-pytago-3\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/dinh-ly-pytago-3.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/dinh-ly-pytago-3-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/dinh-ly-pytago-3-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2>B\u1ea3ng b\u1ed9 ba s\u1ed1 Pytago th\u01b0\u1eddng g\u1eb7p<\/h2>\n<p>B\u1ed9 ba s\u1ed1 Pytago l\u00e0 ba s\u1ed1 nguy\u00ean d\u01b0\u01a1ng a, b, c th\u1ecfa m\u00e3n a\u00b2 + b\u00b2 = c\u00b2, gi\u00fap nh\u1eadn ra tam gi\u00e1c vu\u00f4ng nhanh m\u00e0 kh\u00f4ng c\u1ea7n b\u1ea5m c\u0103n.<\/p>\n<table>\n<thead>\n<tr>\n<th>B\u1ed9 ba (a, b, c)<\/th>\n<th>Ki\u1ec3m tra a\u00b2 + b\u00b2 = c\u00b2<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>3, 4, 5<\/td>\n<td>3\u00b2 + 4\u00b2 = 9 + 16 = 25 = 5\u00b2<\/td>\n<\/tr>\n<tr>\n<td>6, 8, 10<\/td>\n<td>6\u00b2 + 8\u00b2 = 36 + 64 = 100 = 10\u00b2<\/td>\n<\/tr>\n<tr>\n<td>5, 12, 13<\/td>\n<td>5\u00b2 + 12\u00b2 = 25 + 144 = 169 = 13\u00b2<\/td>\n<\/tr>\n<tr>\n<td>8, 15, 17<\/td>\n<td>8\u00b2 + 15\u00b2 = 64 + 225 = 289 = 17\u00b2<\/td>\n<\/tr>\n<tr>\n<td>7, 24, 25<\/td>\n<td>7\u00b2 + 24\u00b2 = 49 + 576 = 625 = 25\u00b2<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>B\u1ed9 ba 6, 8, 10 ch\u00ednh l\u00e0 b\u1ed9 ba 3, 4, 5 nh\u00e2n \u0111\u00f4i \u2014 nh\u00e2n c\u1ea3 ba s\u1ed1 c\u1ee7a m\u1ed9t b\u1ed9 ba Pytago v\u1edbi c\u00f9ng m\u1ed9t s\u1ed1 nguy\u00ean d\u01b0\u01a1ng s\u1ebd lu\u00f4n ra b\u1ed9 ba Pytago m\u1edbi. Ghi nh\u1edb v\u00e0i b\u1ed9 s\u1ed1 quen thu\u1ed9c gi\u00fap t\u00ednh nh\u1ea9m nhanh h\u01a1n khi l\u00e0m b\u00e0i.<\/p>\n<p><strong>Xem th\u00eam: <a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/dien-tich-hinh-tron\/\">C\u00f4ng Th\u1ee9c T\u00ednh Di\u1ec7n T\u00edch H\u00ecnh Tr\u00f2n: C\u00e1ch T\u00ednh, V\u00ed D\u1ee5 &amp; B\u00e0i T\u1eadp<\/a><\/strong><\/p>\n<h2>V\u00ed d\u1ee5 minh h\u1ecda \u0111\u1ecbnh l\u00fd Pytago<\/h2>\n<p>Hai v\u00ed d\u1ee5 d\u01b0\u1edbi \u0111\u00e2y minh h\u1ecda c\u00e1ch \u00e1p d\u1ee5ng c\u00f4ng th\u1ee9c \u0111\u1ec3 t\u00ednh c\u1ea1nh huy\u1ec1n v\u00e0 c\u1ea1nh g\u00f3c vu\u00f4ng, tr\u00ecnh b\u00e0y theo t\u1eebng b\u01b0\u1edbc.<\/p>\n<ul>\n<li><strong>V\u00ed d\u1ee5 1 \u2014 T\u00ednh c\u1ea1nh huy\u1ec1n:<\/strong> Tam gi\u00e1c vu\u00f4ng c\u00f3 hai c\u1ea1nh g\u00f3c vu\u00f4ng a = 3 cm v\u00e0 b = 4 cm. T\u00ednh c\u1ea1nh huy\u1ec1n c.<br \/>B\u01b0\u1edbc 1: \u00c1p d\u1ee5ng c\u00f4ng th\u1ee9c c\u00b2 = a\u00b2 + b\u00b2.<br \/>B\u01b0\u1edbc 2: Thay s\u1ed1: c\u00b2 = 3\u00b2 + 4\u00b2 = 9 + 16 = 25.<br \/>B\u01b0\u1edbc 3: c = \u221a25 = 5 cm. V\u1eady c\u1ea1nh huy\u1ec1n l\u00e0 5 cm.<\/li>\n<li><strong>V\u00ed d\u1ee5 2 \u2014 T\u00ednh c\u1ea1nh g\u00f3c vu\u00f4ng:<\/strong> Tam gi\u00e1c vu\u00f4ng c\u00f3 c\u1ea1nh huy\u1ec1n c = 13 cm v\u00e0 m\u1ed9t c\u1ea1nh g\u00f3c vu\u00f4ng b = 5 cm. T\u00ednh c\u1ea1nh g\u00f3c vu\u00f4ng c\u00f2n l\u1ea1i a.<br \/>B\u01b0\u1edbc 1: T\u1eeb c\u00b2 = a\u00b2 + b\u00b2, suy ra a\u00b2 = c\u00b2 \u2212 b\u00b2.<br \/>B\u01b0\u1edbc 2: Thay s\u1ed1: a\u00b2 = 13\u00b2 \u2212 5\u00b2 = 169 \u2212 25 = 144.<br \/>B\u01b0\u1edbc 3: a = \u221a144 = 12 cm. V\u1eady c\u1ea1nh c\u00f2n l\u1ea1i d\u00e0i 12 cm.<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-568888 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/dinh-ly-pytago-4.jpg\" alt=\"dinh-ly-pytago-4\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/dinh-ly-pytago-4.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/dinh-ly-pytago-4-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/dinh-ly-pytago-4-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2>B\u00e0i t\u1eadp v\u1eadn d\u1ee5ng c\u00f3 l\u1eddi gi\u1ea3i<\/h2>\n<p>C\u00e1c b\u00e0i t\u1eadp sau gi\u00fap b\u1ea1n luy\u1ec7n th\u00eam c\u00e1ch \u00e1p d\u1ee5ng \u0111\u1ecbnh l\u00fd Pytago, t\u1eeb t\u00ednh c\u1ea1nh, b\u00e0i to\u00e1n th\u1ef1c t\u1ebf \u0111\u1ebfn ki\u1ec3m tra tam gi\u00e1c vu\u00f4ng.<\/p>\n<ul>\n<li><strong>B\u00e0i 1:<\/strong> Tam gi\u00e1c vu\u00f4ng c\u00f3 hai c\u1ea1nh g\u00f3c vu\u00f4ng 6 cm v\u00e0 8 cm. T\u00ednh c\u1ea1nh huy\u1ec1n.<br \/><em>L\u1eddi gi\u1ea3i:<\/em> c\u00b2 = 6\u00b2 + 8\u00b2 = 36 + 64 = 100, suy ra c = \u221a100 = 10 cm.<\/li>\n<li><strong>B\u00e0i 2:<\/strong> M\u1ed9t chi\u1ebfc thang d\u00e0i 5 m d\u1ef1a v\u00e0o t\u01b0\u1eddng, ch\u00e2n thang c\u00e1ch ch\u00e2n t\u01b0\u1eddng 3 m. H\u1ecfi thang ch\u1ea1m t\u01b0\u1eddng \u1edf \u0111\u1ed9 cao bao nhi\u00eau?<br \/><em>L\u1eddi gi\u1ea3i:<\/em> Thang l\u00e0 c\u1ea1nh huy\u1ec1n (5 m), kho\u1ea3ng c\u00e1ch ch\u00e2n thang t\u1edbi t\u01b0\u1eddng l\u00e0 m\u1ed9t c\u1ea1nh g\u00f3c vu\u00f4ng (3 m). Chi\u1ec1u cao: a\u00b2 = 5\u00b2 \u2212 3\u00b2 = 25 \u2212 9 = 16, suy ra a = \u221a16 = 4 m.<\/li>\n<li><strong>B\u00e0i 3:<\/strong> Tam gi\u00e1c c\u00f3 ba c\u1ea1nh 8, 15, 17 c\u00f3 ph\u1ea3i tam gi\u00e1c vu\u00f4ng kh\u00f4ng?<br \/><em>L\u1eddi gi\u1ea3i:<\/em> 8\u00b2 + 15\u00b2 = 64 + 225 = 289, v\u00e0 17\u00b2 = 289. Hai k\u1ebft qu\u1ea3 b\u1eb1ng nhau n\u00ean \u0111\u00e2y l\u00e0 tam gi\u00e1c vu\u00f4ng theo \u0111\u1ecbnh l\u00fd Pytago \u0111\u1ea3o, g\u00f3c vu\u00f4ng \u0111\u1ed1i di\u1ec7n c\u1ea1nh 17.<\/li>\n<li><strong>B\u00e0i 4 (tr\u1eafc nghi\u1ec7m):<\/strong> C\u1ea1nh huy\u1ec1n c\u1ee7a tam gi\u00e1c vu\u00f4ng c\u00f3 hai c\u1ea1nh g\u00f3c vu\u00f4ng 9 v\u00e0 12 l\u00e0 bao nhi\u00eau? A. 15   B. 21   C. 13   D. 225.<br \/><em>L\u1eddi gi\u1ea3i:<\/em> c\u00b2 = 9\u00b2 + 12\u00b2 = 81 + 144 = 225, suy ra c = \u221a225 = 15. \u0110\u00e1p \u00e1n \u0111\u00fang l\u00e0 A.<\/li>\n<\/ul>\n<h2>\u0110\u00f4i n\u00e9t v\u1ec1 nh\u00e0 to\u00e1n h\u1ecdc Pytago<\/h2>\n<p>\u0110\u1ecbnh l\u00fd Pytago \u0111\u01b0\u1ee3c \u0111\u1eb7t theo t\u00ean nh\u00e0 to\u00e1n h\u1ecdc Hy L\u1ea1p c\u1ed5 \u0111\u1ea1i Pythagoras (Pytago), s\u1ed1ng v\u00e0o kho\u1ea3ng th\u1ebf k\u1ef7 VI tr\u01b0\u1edbc C\u00f4ng nguy\u00ean. M\u1ed1i quan h\u1ec7 gi\u1eefa ba c\u1ea1nh tam gi\u00e1c vu\u00f4ng th\u1ef1c ra \u0111\u00e3 \u0111\u01b0\u1ee3c ng\u01b0\u1eddi Ai C\u1eadp v\u00e0 Babylon c\u1ed5 \u0111\u1ea1i bi\u1ebft \u0111\u1ebfn t\u1eeb tr\u01b0\u1edbc, ch\u1eb3ng h\u1ea1n d\u00f9ng d\u00e2y th\u1eaft n\u00fat theo t\u1ec9 l\u1ec7 3-4-5 \u0111\u1ec3 t\u1ea1o g\u00f3c vu\u00f4ng khi x\u00e2y d\u1ef1ng.<\/p>\n<p>Pythagoras v\u00e0 tr\u01b0\u1eddng ph\u00e1i c\u1ee7a \u00f4ng \u0111\u01b0\u1ee3c ghi nh\u1eadn l\u00e0 nh\u1eefng ng\u01b0\u1eddi \u0111\u1ea7u ti\u00ean ch\u1ee9ng minh h\u1ec7 th\u1ee9c n\u00e0y m\u1ed9t c\u00e1ch h\u1ec7 th\u1ed1ng, v\u1edbi h\u00e0ng tr\u0103m c\u00e1ch ch\u1ee9ng minh kh\u00e1c nhau qua c\u00e1c th\u1eddi k\u1ef3.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-568889 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/dinh-ly-pytago-5.jpg\" alt=\"dinh-ly-pytago-5\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/dinh-ly-pytago-5.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/dinh-ly-pytago-5-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/dinh-ly-pytago-5-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2>\u1ee8ng d\u1ee5ng c\u1ee7a \u0111\u1ecbnh l\u00fd Pytago trong th\u1ef1c t\u1ebf<\/h2>\n<p>Ngo\u00e0i b\u00e0i t\u1eadp s\u00e1ch gi\u00e1o khoa, \u0111\u1ecbnh l\u00fd Pytago c\u00f2n \u1ee9ng d\u1ee5ng trong \u0111o \u0111\u1ea1c v\u00e0 t\u00ednh to\u00e1n h\u1eb1ng ng\u00e0y: ki\u1ec3m tra nhanh g\u00f3c vu\u00f4ng trong x\u00e2y d\u1ef1ng b\u1eb1ng b\u1ed9 ba 3-4-5, v\u00e0 t\u00ednh chi\u1ec1u cao ho\u1eb7c kho\u1ea3ng c\u00e1ch kh\u00f3 \u0111o tr\u1ef1c ti\u1ebfp. Nhi\u1ec1u c\u00f4ng th\u1ee9c h\u00ecnh h\u1ecdc, l\u01b0\u1ee3ng gi\u00e1c n\u00e2ng cao \u1edf l\u1edbp tr\u00ean c\u0169ng x\u00e2y d\u1ef1ng tr\u00ean n\u1ec1n t\u1ea3ng \u0111\u1ecbnh l\u00fd n\u00e0y.<\/p>\n<p><strong>Xem th\u00eam: <a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/hinh-lang-tru-dung\/\">H\u00ecnh l\u0103ng tr\u1ee5 \u0111\u1ee9ng: C\u00f4ng th\u1ee9c t\u00ednh th\u1ec3 t\u00edch, di\u1ec7n t\u00edch v\u00e0 v\u00ed d\u1ee5 c\u00f3 l\u1eddi gi\u1ea3i<\/a><\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-568890 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/dinh-ly-pytago-6.jpg\" alt=\"dinh-ly-pytago-6\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/dinh-ly-pytago-6.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/dinh-ly-pytago-6-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/dinh-ly-pytago-6-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2>Nh\u1eefng sai l\u1ea7m th\u01b0\u1eddng g\u1eb7p khi \u00e1p d\u1ee5ng \u0111\u1ecbnh l\u00fd Pytago<\/h2>\n<p>L\u1ed7i ph\u1ed5 bi\u1ebfn nh\u1ea5t l\u00e0 x\u00e1c \u0111\u1ecbnh sai c\u1ea1nh huy\u1ec1n \u2014 c\u1ea1nh huy\u1ec1n lu\u00f4n l\u00e0 c\u1ea1nh d\u00e0i nh\u1ea5t, \u0111\u1ed1i di\u1ec7n g\u00f3c vu\u00f4ng, kh\u00f4ng ph\u1ea3i c\u1ea1nh n\u00e0o c\u0169ng g\u00e1n l\u00e0m c \u0111\u01b0\u1ee3c; k\u1ebf \u0111\u1ebfn l\u00e0 nh\u1ea7m d\u1ea5u c\u1ed9ng\/tr\u1eeb khi t\u00ednh c\u1ea1nh g\u00f3c vu\u00f4ng, ch\u1eb3ng h\u1ea1n d\u00f9ng a\u00b2 = c\u00b2 + b\u00b2 thay v\u00ec a\u00b2 = c\u00b2 \u2212 b\u00b2. Ngo\u00e0i ra, \u0111\u1ecbnh l\u00fd Pytago ch\u1ec9 \u00e1p d\u1ee5ng cho tam gi\u00e1c vu\u00f4ng \u2014 v\u1edbi tam gi\u00e1c th\u01b0\u1eddng ph\u1ea3i d\u00f9ng h\u1ec7 th\u1ee9c l\u01b0\u1ee3ng kh\u00e1c, v\u00e0 khi khai c\u0103n n\u00ean gi\u1eef d\u1ea1ng c\u0103n (v\u00ed d\u1ee5 \u221a50 = 5\u221a2) n\u1ebfu \u0111\u1ec1 kh\u00f4ng y\u00eau c\u1ea7u s\u1ed1 th\u1eadp ph\u00e2n, \u0111\u1ec3 k\u1ebft qu\u1ea3 ch\u00ednh x\u00e1c.<\/p>\n<h2>C\u00e2u h\u1ecfi th\u01b0\u1eddng g\u1eb7p v\u1ec1 \u0111\u1ecbnh l\u00fd Pytago<\/h2>\n<h3>\u0110\u1ecbnh l\u00fd Pytago ph\u00e1t bi\u1ec3u nh\u01b0 th\u1ebf n\u00e0o?<\/h3>\n<p>Trong m\u1ed9t tam gi\u00e1c vu\u00f4ng, b\u00ecnh ph\u01b0\u01a1ng c\u1ea1nh huy\u1ec1n b\u1eb1ng t\u1ed5ng b\u00ecnh ph\u01b0\u01a1ng hai c\u1ea1nh g\u00f3c vu\u00f4ng: c\u00b2 = a\u00b2 + b\u00b2.<\/p>\n<h3>C\u00f4ng th\u1ee9c t\u00ednh c\u1ea1nh huy\u1ec1n theo \u0111\u1ecbnh l\u00fd Pytago l\u00e0 g\u00ec?<\/h3>\n<p>C\u1ea1nh huy\u1ec1n c = \u221a(a\u00b2 + b\u00b2), v\u1edbi a v\u00e0 b l\u00e0 hai c\u1ea1nh g\u00f3c vu\u00f4ng.<\/p>\n<h3>\u0110\u1ecbnh l\u00fd Pytago \u0111\u1ea3o d\u00f9ng \u0111\u1ec3 l\u00e0m g\u00ec?<\/h3>\n<p>\u0110\u1ec3 ki\u1ec3m tra m\u1ed9t tam gi\u00e1c c\u00f3 ph\u1ea3i tam gi\u00e1c vu\u00f4ng hay kh\u00f4ng: n\u1ebfu a\u00b2 + b\u00b2 = c\u00b2 th\u00ec tam gi\u00e1c \u0111\u00f3 vu\u00f4ng.<\/p>\n<h3>L\u00e0m sao bi\u1ebft c\u1ea1nh n\u00e0o l\u00e0 c\u1ea1nh huy\u1ec1n trong tam gi\u00e1c vu\u00f4ng?<\/h3>\n<p>C\u1ea1nh huy\u1ec1n l\u00e0 c\u1ea1nh d\u00e0i nh\u1ea5t trong tam gi\u00e1c vu\u00f4ng, lu\u00f4n n\u1eb1m \u0111\u1ed1i di\u1ec7n g\u00f3c vu\u00f4ng.<\/p>\n<h3>B\u1ed9 ba s\u1ed1 Pytago ph\u1ed5 bi\u1ebfn nh\u1ea5t l\u00e0 b\u1ed9 n\u00e0o?<\/h3>\n<p>B\u1ed9 ba 3, 4, 5, v\u00ec 3\u00b2 + 4\u00b2 = 5\u00b2 v\u00e0 c\u1ea3 ba s\u1ed1 \u0111\u1ec1u l\u00e0 s\u1ed1 nguy\u00ean nh\u1ecf, d\u1ec5 nh\u1edb.<\/p>\n<h3>\u0110\u1ecbnh l\u00fd Pytago c\u00f3 \u00e1p d\u1ee5ng \u0111\u01b0\u1ee3c cho tam gi\u00e1c th\u01b0\u1eddng kh\u00f4ng?<\/h3>\n<p>Kh\u00f4ng. \u0110\u1ecbnh l\u00fd ch\u1ec9 \u00e1p d\u1ee5ng tr\u1ef1c ti\u1ebfp cho tam gi\u00e1c vu\u00f4ng; tam gi\u00e1c th\u01b0\u1eddng c\u1ea7n d\u00f9ng h\u1ec7 th\u1ee9c l\u01b0\u1ee3ng kh\u00e1c.<\/p>\n<h3>V\u00ec sao n\u00ean ghi nh\u1edb c\u00e1c b\u1ed9 ba s\u1ed1 Pytago?<\/h3>\n<p>Gi\u00fap nh\u1eadn ra tam gi\u00e1c vu\u00f4ng v\u00e0 t\u00ednh nhanh k\u1ebft qu\u1ea3 m\u00e0 kh\u00f4ng c\u1ea7n b\u1ea5m m\u00e1y t\u00ednh hay khai c\u0103n.<\/p>\n<h2>K\u1ebft lu\u1eadn<\/h2>\n<p>\u0110\u1ecbnh l\u00fd Pytago cho bi\u1ebft trong tam gi\u00e1c vu\u00f4ng, c\u00b2 = a\u00b2 + b\u00b2, c\u00f2n \u0111\u1ecbnh l\u00fd Pytago \u0111\u1ea3o gi\u00fap ki\u1ec3m tra m\u1ed9t tam gi\u00e1c c\u00f3 vu\u00f4ng hay kh\u00f4ng d\u1ef1a v\u00e0o ba c\u1ea1nh. Ghi nh\u1edb c\u00e1c b\u1ed9 ba s\u1ed1 Pytago quen thu\u1ed9c nh\u01b0 3-4-5 hay 5-12-13 s\u1ebd gi\u00fap b\u1ea1n gi\u1ea3i nhanh nhi\u1ec1u d\u1ea1ng b\u00e0i, t\u1eeb t\u00ednh c\u1ea1nh \u0111\u1ebfn c\u00e1c b\u00e0i to\u00e1n th\u1ef1c t\u1ebf nh\u01b0 \u0111o chi\u1ec1u cao hay t\u00ednh \u0111\u01b0\u1eddng ch\u00e9o. \u0110\u1ec3 h\u1ecdc th\u00eam v\u1ec1 h\u00ecnh h\u1ecdc tam gi\u00e1c, m\u1eddi b\u1ea1n tham kh\u1ea3o c\u00e1c b\u00e0i <a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/cach-tinh-dien-tich-tam-giac-vuong\/\">c\u00e1ch t\u00ednh di\u1ec7n t\u00edch tam gi\u00e1c vu\u00f4ng<\/a>, <a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/dien-tich-tam-giac\/\">c\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch tam gi\u00e1c<\/a> v\u00e0 <a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/cach-tinh-dien-tich-tam-giac-deu\/\">c\u00e1ch t\u00ednh di\u1ec7n t\u00edch tam gi\u00e1c \u0111\u1ec1u<\/a> tr\u00ean chuy\u00ean m\u1ee5c tin t\u1ee9c c\u1ee7a Ho\u00e0ng H\u00e0 Mobile.<br \/>\n<script type=\"application\/ld+json\">\n{\"@context\":\"https:\/\/schema.org\",\"@type\":\"FAQPage\",\"mainEntity\":[{\"@type\":\"Question\",\"name\":\"\u0110\u1ecbnh l\u00fd Pytago ph\u00e1t bi\u1ec3u nh\u01b0 th\u1ebf n\u00e0o?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"Trong m\u1ed9t tam gi\u00e1c vu\u00f4ng, b\u00ecnh ph\u01b0\u01a1ng c\u1ea1nh huy\u1ec1n b\u1eb1ng t\u1ed5ng b\u00ecnh ph\u01b0\u01a1ng hai c\u1ea1nh g\u00f3c vu\u00f4ng: c\u00b2 = a\u00b2 + b\u00b2.\"}},{\"@type\":\"Question\",\"name\":\"C\u00f4ng th\u1ee9c t\u00ednh c\u1ea1nh huy\u1ec1n theo \u0111\u1ecbnh l\u00fd Pytago l\u00e0 g\u00ec?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"C\u1ea1nh huy\u1ec1n c = \u221a(a\u00b2 + b\u00b2), v\u1edbi a v\u00e0 b l\u00e0 hai c\u1ea1nh g\u00f3c vu\u00f4ng.\"}},{\"@type\":\"Question\",\"name\":\"\u0110\u1ecbnh l\u00fd Pytago \u0111\u1ea3o d\u00f9ng \u0111\u1ec3 l\u00e0m g\u00ec?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"\u0110\u1ec3 ki\u1ec3m tra m\u1ed9t tam gi\u00e1c c\u00f3 ph\u1ea3i tam gi\u00e1c vu\u00f4ng hay kh\u00f4ng: n\u1ebfu a\u00b2 + b\u00b2 = c\u00b2 th\u00ec tam gi\u00e1c \u0111\u00f3 vu\u00f4ng.\"}},{\"@type\":\"Question\",\"name\":\"L\u00e0m sao bi\u1ebft c\u1ea1nh n\u00e0o l\u00e0 c\u1ea1nh huy\u1ec1n trong tam gi\u00e1c vu\u00f4ng?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"C\u1ea1nh huy\u1ec1n l\u00e0 c\u1ea1nh d\u00e0i nh\u1ea5t trong tam gi\u00e1c vu\u00f4ng, lu\u00f4n n\u1eb1m \u0111\u1ed1i di\u1ec7n g\u00f3c vu\u00f4ng.\"}},{\"@type\":\"Question\",\"name\":\"B\u1ed9 ba s\u1ed1 Pytago ph\u1ed5 bi\u1ebfn nh\u1ea5t l\u00e0 b\u1ed9 n\u00e0o?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"B\u1ed9 ba 3, 4, 5, v\u00ec 3\u00b2 + 4\u00b2 = 5\u00b2 v\u00e0 c\u1ea3 ba s\u1ed1 \u0111\u1ec1u l\u00e0 s\u1ed1 nguy\u00ean nh\u1ecf, d\u1ec5 nh\u1edb.\"}},{\"@type\":\"Question\",\"name\":\"\u0110\u1ecbnh l\u00fd Pytago c\u00f3 \u00e1p d\u1ee5ng \u0111\u01b0\u1ee3c cho tam gi\u00e1c th\u01b0\u1eddng kh\u00f4ng?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"Kh\u00f4ng. \u0110\u1ecbnh l\u00fd ch\u1ec9 \u00e1p d\u1ee5ng tr\u1ef1c ti\u1ebfp cho tam gi\u00e1c vu\u00f4ng; tam gi\u00e1c th\u01b0\u1eddng c\u1ea7n d\u00f9ng h\u1ec7 th\u1ee9c l\u01b0\u1ee3ng kh\u00e1c.\"}},{\"@type\":\"Question\",\"name\":\"V\u00ec sao n\u00ean ghi nh\u1edb c\u00e1c b\u1ed9 ba s\u1ed1 Pytago?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"Gi\u00fap nh\u1eadn ra tam gi\u00e1c vu\u00f4ng v\u00e0 t\u00ednh nhanh k\u1ebft qu\u1ea3 m\u00e0 kh\u00f4ng c\u1ea7n b\u1ea5m m\u00e1y t\u00ednh hay khai c\u0103n.\"}}]}\n<\/script><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0110\u1ecbnh l\u00fd Pytago ph\u00e1t bi\u1ec3u r\u1eb1ng trong m\u1ed9t tam gi\u00e1c vu\u00f4ng, b\u00ecnh ph\u01b0\u01a1ng \u0111\u1ed9 d\u00e0i c\u1ea1nh huy\u1ec1n lu\u00f4n b\u1eb1ng t\u1ed5ng b\u00ecnh ph\u01b0\u01a1ng \u0111\u1ed9 d\u00e0i hai c\u1ea1nh g\u00f3c vu\u00f4ng, vi\u1ebft g\u1ecdn l\u00e0 c\u00b2 = a\u00b2 + b\u00b2. \u0110\u00e2y l\u00e0 \u0111\u1ecbnh l\u00fd n\u1ec1n t\u1ea3ng c\u1ee7a H\u00ecnh h\u1ecdc l\u1edbp 7, gi\u00fap b\u1ea1n t\u00ednh nhanh c\u1ea1nh c\u00f2n thi\u1ebfu c\u1ee7a [&hellip;]<\/p>\n","protected":false},"author":65,"featured_media":568884,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"\u0111\u1ecbnh l\u00fd pytago","_yoast_wpseo_title":"\u0110\u1ecbnh l\u00fd Pytago: c\u00f4ng th\u1ee9c v\u00e0 v\u00ed d\u1ee5","_yoast_wpseo_metadesc":"\u0110\u1ecbnh l\u00fd Pytago l\u00e0 g\u00ec? C\u00f4ng th\u1ee9c c\u00b2 = a\u00b2 + b\u00b2, \u0111\u1ecbnh l\u00fd \u0111\u1ea3o, b\u1ed9 ba s\u1ed1 Pytago v\u00e0 v\u00ed d\u1ee5 c\u00f3 l\u1eddi gi\u1ea3i t\u1eebng b\u01b0\u1edbc. Xem chi ti\u1ebft t\u1ea1i Ho\u00e0ng H\u00e0 Mobile.","footnotes":""},"categories":[16],"tags":[],"class_list":["post-567147","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-thu-thuat"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v27.3 (Yoast SEO v27.4) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>\u0110\u1ecbnh l\u00fd Pytago: c\u00f4ng th\u1ee9c v\u00e0 v\u00ed d\u1ee5<\/title>\n<meta name=\"description\" content=\"\u0110\u1ecbnh l\u00fd Pytago l\u00e0 g\u00ec? C\u00f4ng th\u1ee9c c\u00b2 = a\u00b2 + b\u00b2, \u0111\u1ecbnh l\u00fd \u0111\u1ea3o, b\u1ed9 ba s\u1ed1 Pytago v\u00e0 v\u00ed d\u1ee5 c\u00f3 l\u1eddi gi\u1ea3i t\u1eebng b\u01b0\u1edbc. 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