{"id":567202,"date":"2026-07-22T16:24:37","date_gmt":"2026-07-22T09:24:37","guid":{"rendered":"https:\/\/hoanghamobile.com\/tin-tuc\/?p=567202"},"modified":"2026-07-22T16:24:37","modified_gmt":"2026-07-22T09:24:37","slug":"dinh-ly-talet","status":"publish","type":"post","link":"https:\/\/hoanghamobile.com\/tin-tuc\/dinh-ly-talet\/","title":{"rendered":"\u0110\u1ecbnh l\u00fd Talet: n\u1ed9i dung, \u0111\u1ecbnh l\u00fd \u0111\u1ea3o v\u00e0 v\u00ed d\u1ee5 \u00e1p d\u1ee5ng"},"content":{"rendered":"<p>\u0110\u1ecbnh l\u00fd Talet l\u00e0 ki\u1ebfn th\u1ee9c n\u1ec1n t\u1ea3ng c\u1ee7a H\u00ecnh h\u1ecdc l\u1edbp 8, th\u01b0\u1eddng xu\u1ea5t hi\u1ec7n trong c\u00e1c b\u00e0i t\u00ednh \u0111\u1ed9 d\u00e0i \u0111o\u1ea1n th\u1eb3ng, ch\u1ee9ng minh song song ho\u1eb7c ch\u1ee9ng minh tam gi\u00e1c \u0111\u1ed3ng d\u1ea1ng. Nhi\u1ec1u b\u1ea1n nh\u1edb \u0111\u01b0\u1ee3c c\u00f4ng th\u1ee9c nh\u01b0ng d\u1ec5 nh\u1ea7m gi\u1eefa \u0111\u1ecbnh l\u00fd thu\u1eadn, \u0111\u1ecbnh l\u00fd \u0111\u1ea3o v\u00e0 h\u1ec7 qu\u1ea3, d\u1eabn \u0111\u1ebfn \u00e1p d\u1ee5ng sai khi l\u00e0m b\u00e0i. N\u1ed9i dung d\u01b0\u1edbi \u0111\u00e2y h\u1ec7 th\u1ed1ng l\u1ea1i ph\u00e1t bi\u1ec3u \u0111\u1ecbnh l\u00fd Talet, \u0111\u1ecbnh l\u00fd \u0111\u1ea3o, h\u1ec7 qu\u1ea3, c\u00e1ch d\u00f9ng trong h\u00ecnh thang, k\u00e8m v\u00ed d\u1ee5 c\u00f3 l\u1eddi gi\u1ea3i t\u1eebng b\u01b0\u1edbc v\u00e0 \u1ee9ng d\u1ee5ng th\u1ef1c t\u1ebf nh\u01b0 \u0111o chi\u1ec1u cao, \u0111o kho\u1ea3ng c\u00e1ch.<\/p>\n<h2>\u0110\u1ecbnh l\u00fd Talet l\u00e0 g\u00ec?<\/h2>\n<p>\u0110\u1ecbnh l\u00fd Talet ph\u00e1t bi\u1ec3u m\u1ed1i quan h\u1ec7 t\u1ec9 l\u1ec7 gi\u1eefa c\u00e1c \u0111o\u1ea1n th\u1eb3ng khi c\u00f3 m\u1ed9t \u0111\u01b0\u1eddng th\u1eb3ng song song v\u1edbi m\u1ed9t c\u1ea1nh c\u1ee7a tam gi\u00e1c. Trong tam gi\u00e1c ABC, n\u1ebfu v\u1ebd \u0111\u01b0\u1eddng th\u1eb3ng song song v\u1edbi c\u1ea1nh BC, c\u1eaft AB t\u1ea1i B&#8217; v\u00e0 c\u1eaft AC t\u1ea1i C&#8217;, th\u00ec B&#8217;C&#8217; chia hai c\u1ea1nh AB, AC th\u00e0nh c\u00e1c \u0111o\u1ea1n th\u1eb3ng t\u01b0\u01a1ng \u1ee9ng t\u1ec9 l\u1ec7. \u0110\u1ecbnh l\u00fd g\u1eafn v\u1edbi t\u00ean nh\u00e0 to\u00e1n h\u1ecdc Hy L\u1ea1p c\u1ed5 \u0111\u1ea1i Thal\u00e8s n\u00ean c\u00f2n g\u1ecdi l\u00e0 \u0111\u1ecbnh l\u00fd Thales, v\u00e0 l\u00e0 c\u01a1 s\u1edf \u0111\u1ec3 suy ra h\u1ec7 qu\u1ea3 tam gi\u00e1c \u0111\u1ed3ng d\u1ea1ng, t\u00ednh ch\u1ea5t \u0111\u01b0\u1eddng trung b\u00ecnh c\u00f9ng nhi\u1ec1u b\u00e0i to\u00e1n \u0111o \u0111\u1ea1c gi\u00e1n ti\u1ebfp ngo\u00e0i th\u1ef1c t\u1ebf.<\/p>\n<p><img fetchpriority=\"high\" decoding=\"async\" class=\"size-full wp-image-569176 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/dinh-ly-talet-1.jpg\" alt=\"dinh-ly-talet-1\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/dinh-ly-talet-1.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/dinh-ly-talet-1-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/dinh-ly-talet-1-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2>N\u1ed9i dung \u0111\u1ecbnh l\u00fd Talet<\/h2>\n<p>Ph\u00e1t bi\u1ec3u ch\u00ednh x\u00e1c: n\u1ebfu m\u1ed9t \u0111\u01b0\u1eddng th\u1eb3ng song song v\u1edbi m\u1ed9t c\u1ea1nh c\u1ee7a tam gi\u00e1c v\u00e0 c\u1eaft hai c\u1ea1nh c\u00f2n l\u1ea1i th\u00ec n\u00f3 \u0111\u1ecbnh ra tr\u00ean hai c\u1ea1nh \u0111\u00f3 nh\u1eefng \u0111o\u1ea1n th\u1eb3ng t\u01b0\u01a1ng \u1ee9ng t\u1ec9 l\u1ec7.<\/p>\n<p>X\u00e9t tam gi\u00e1c ABC c\u00f3 B&#8217; thu\u1ed9c c\u1ea1nh AB, C&#8217; thu\u1ed9c c\u1ea1nh AC sao cho B&#8217;C&#8217; song song v\u1edbi BC. \u0110\u1ecbnh l\u00fd Talet cho ta: AB&#8217;\/AB = AC&#8217;\/AC. T\u1ec9 l\u1ec7 n\u00e0y c\u00f2n vi\u1ebft d\u01b0\u1edbi d\u1ea1ng AB&#8217;\/B&#8217;B = AC&#8217;\/C&#8217;C, t\u01b0\u01a1ng \u0111\u01b0\u01a1ng v\u1edbi c\u00e1ch vi\u1ebft tr\u00ean.<\/p>\n<p><img decoding=\"async\" class=\"size-full wp-image-569177 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/dinh-ly-talet-2.jpg\" alt=\"dinh-ly-talet-2\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/dinh-ly-talet-2.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/dinh-ly-talet-2-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/dinh-ly-talet-2-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2>\u0110\u1ecbnh l\u00fd Talet \u0111\u1ea3o<\/h2>\n<p>\u0110\u1ecbnh l\u00fd Talet \u0111\u1ea3o l\u00e0 chi\u1ec1u ng\u01b0\u1ee3c l\u1ea1i: d\u1ef1a v\u00e0o t\u1ec9 l\u1ec7 \u0111o\u1ea1n th\u1eb3ng \u0111\u1ec3 k\u1ebft lu\u1eadn hai \u0111\u01b0\u1eddng th\u1eb3ng song song.<\/p>\n<p>N\u1ebfu m\u1ed9t \u0111\u01b0\u1eddng th\u1eb3ng c\u1eaft hai c\u1ea1nh c\u1ee7a m\u1ed9t tam gi\u00e1c (ho\u1eb7c ph\u1ea7n k\u00e9o d\u00e0i c\u1ee7a hai c\u1ea1nh) v\u00e0 \u0111\u1ecbnh ra tr\u00ean hai c\u1ea1nh \u0111\u00f3 nh\u1eefng \u0111o\u1ea1n th\u1eb3ng t\u01b0\u01a1ng \u1ee9ng t\u1ec9 l\u1ec7 th\u00ec \u0111\u01b0\u1eddng th\u1eb3ng \u0111\u00f3 song song v\u1edbi c\u1ea1nh c\u00f2n l\u1ea1i. C\u1ee5 th\u1ec3, x\u00e9t tam gi\u00e1c ABC, B&#8217; thu\u1ed9c AB, C&#8217; thu\u1ed9c AC; n\u1ebfu AB&#8217;\/AB = AC&#8217;\/AC th\u00ec B&#8217;C&#8217; song song BC. \u0110\u1ecbnh l\u00fd \u0111\u1ea3o th\u01b0\u1eddng d\u00f9ng \u0111\u1ec3 ch\u1ee9ng minh hai \u0111\u01b0\u1eddng th\u1eb3ng song song m\u00e0 kh\u00f4ng c\u1ea7n \u0111o g\u00f3c, ch\u1ec9 c\u1ea7n ch\u1ee9ng minh hai t\u1ec9 s\u1ed1 \u0111o\u1ea1n th\u1eb3ng b\u1eb1ng nhau.<\/p>\n<p><img decoding=\"async\" class=\"size-full wp-image-569178 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/dinh-ly-talet-3.jpg\" alt=\"dinh-ly-talet-3\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/dinh-ly-talet-3.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/dinh-ly-talet-3-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/dinh-ly-talet-3-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<table>\n<thead>\n<tr>\n<th>Ti\u00eau ch\u00ed<\/th>\n<th>\u0110\u1ecbnh l\u00fd Talet (thu\u1eadn)<\/th>\n<th>\u0110\u1ecbnh l\u00fd Talet \u0111\u1ea3o<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>Gi\u1ea3 thi\u1ebft<\/td>\n<td>B&#8217;C&#8217; song song BC (\u0111\u00e3 bi\u1ebft song song)<\/td>\n<td>AB&#8217;\/AB = AC&#8217;\/AC (\u0111\u00e3 bi\u1ebft t\u1ec9 l\u1ec7 b\u1eb1ng nhau)<\/td>\n<\/tr>\n<tr>\n<td>K\u1ebft lu\u1eadn<\/td>\n<td>AB&#8217;\/AB = AC&#8217;\/AC<\/td>\n<td>B&#8217;C&#8217; song song BC<\/td>\n<\/tr>\n<tr>\n<td>Th\u01b0\u1eddng d\u00f9ng \u0111\u1ec3<\/td>\n<td>T\u00ednh \u0111\u1ed9 d\u00e0i \u0111o\u1ea1n th\u1eb3ng<\/td>\n<td>Ch\u1ee9ng minh hai \u0111\u01b0\u1eddng th\u1eb3ng song song<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2>H\u1ec7 qu\u1ea3 c\u1ee7a \u0111\u1ecbnh l\u00fd Talet<\/h2>\n<p>Khi B&#8217;C&#8217; song song v\u1edbi BC, tam gi\u00e1c AB&#8217;C&#8217; \u0111\u1ed3ng d\u1ea1ng v\u1edbi tam gi\u00e1c ABC, t\u1eeb \u0111\u00f3 c\u00f3 th\u00eam m\u1ed9t h\u1ec7 qu\u1ea3 \u0111\u1ec3 t\u00ednh \u0111o\u1ea1n th\u1eb3ng song song.<\/p>\n<p>H\u1ec7 qu\u1ea3: n\u1ebfu m\u1ed9t \u0111\u01b0\u1eddng th\u1eb3ng c\u1eaft hai c\u1ea1nh c\u1ee7a tam gi\u00e1c v\u00e0 song song v\u1edbi c\u1ea1nh c\u00f2n l\u1ea1i th\u00ec n\u00f3 t\u1ea1o ra m\u1ed9t tam gi\u00e1c m\u1edbi c\u00f3 ba c\u1ea1nh t\u01b0\u01a1ng \u1ee9ng t\u1ec9 l\u1ec7 v\u1edbi ba c\u1ea1nh c\u1ee7a tam gi\u00e1c ban \u0111\u1ea7u. V\u1edbi B&#8217;C&#8217; song song BC, h\u1ec7 qu\u1ea3 \u0111\u01b0\u1ee3c vi\u1ebft: AB&#8217;\/AB = AC&#8217;\/AC = B&#8217;C&#8217;\/BC. So v\u1edbi \u0111\u1ecbnh l\u00fd thu\u1eadn (ch\u1ec9 so s\u00e1nh hai c\u1ea1nh chung \u0111\u1ec9nh A), h\u1ec7 qu\u1ea3 b\u1ed5 sung th\u00eam t\u1ec9 s\u1ed1 c\u1ee7a c\u1ea1nh song song B&#8217;C&#8217; v\u1edbi c\u1ea1nh BC \u2014 \u0111\u00e2y ch\u00ednh l\u00e0 h\u1ec7 qu\u1ea3 c\u1ee7a vi\u1ec7c hai tam gi\u00e1c AB&#8217;C&#8217; v\u00e0 ABC \u0111\u1ed3ng d\u1ea1ng theo tr\u01b0\u1eddng h\u1ee3p g\u00f3c &#8211; g\u00f3c. Xem th\u00eam b\u00e0i <a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/tam-giac-dong-dang-la-gi\/\">tam gi\u00e1c \u0111\u1ed3ng d\u1ea1ng l\u00e0 g\u00ec<\/a> \u0111\u1ec3 hi\u1ec3u r\u00f5 b\u1ea3n ch\u1ea5t h\u00ecnh h\u1ecdc c\u1ee7a h\u1ec7 qu\u1ea3 n\u00e0y.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-569179 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/dinh-ly-talet-4.jpg\" alt=\"dinh-ly-talet-4\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/dinh-ly-talet-4.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/dinh-ly-talet-4-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/dinh-ly-talet-4-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2>\u0110\u1ecbnh l\u00fd Talet trong h\u00ecnh thang<\/h2>\n<p>\u0110\u1ecbnh l\u00fd Talet c\u0169ng \u00e1p d\u1ee5ng \u0111\u01b0\u1ee3c cho h\u00ecnh thang khi c\u00f3 m\u1ed9t \u0111\u01b0\u1eddng th\u1eb3ng song song v\u1edbi hai \u0111\u00e1y.<\/p>\n<p>X\u00e9t h\u00ecnh thang ABCD c\u00f3 AB song song CD. N\u1ebfu M thu\u1ed9c c\u1ea1nh AD, N thu\u1ed9c c\u1ea1nh BC sao cho MN song song AB v\u00e0 CD th\u00ec AM\/MD = BN\/NC. Khi M, N l\u00e0 trung \u0111i\u1ec3m c\u1ee7a AD v\u00e0 BC (AM\/MD = 1), \u0111o\u1ea1n MN ch\u00ednh l\u00e0 \u0111\u01b0\u1eddng trung b\u00ecnh c\u1ee7a h\u00ecnh thang, b\u1eb1ng trung b\u00ecnh c\u1ed9ng hai \u0111\u00e1y: MN = (AB + CD)\/2. Xem th\u00eam b\u00e0i <a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/duong-trung-binh\/\">\u0111\u01b0\u1eddng trung b\u00ecnh c\u1ee7a tam gi\u00e1c v\u00e0 h\u00ecnh thang<\/a> \u0111\u1ec3 n\u1eafm tr\u1ecdn b\u1ed9 c\u00f4ng th\u1ee9c.<\/p>\n<p><strong>V\u00ed d\u1ee5 \u00e1p d\u1ee5ng:<\/strong> h\u00ecnh thang ABCD c\u00f3 AB song song CD, AB = 6cm, CD = 14cm. M thu\u1ed9c AD, N thu\u1ed9c BC, MN song song AB v\u00e0 CD, AM\/MD = 2\/3. T\u00ednh MN.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong> K\u1ebb \u0111\u01b0\u1eddng ch\u00e9o BD c\u1eaft MN t\u1ea1i K. Trong tam gi\u00e1c ABD c\u00f3 MK song song AB n\u00ean theo h\u1ec7 qu\u1ea3 Talet: DM\/DA = MK\/AB. V\u00ec AM\/MD = 2\/3 n\u00ean DM\/DA = 3\/5, suy ra MK = 6 \u00d7 3\/5 = 3,6cm. Trong tam gi\u00e1c BCD c\u00f3 KN song song DC n\u00ean BK\/BD = KN\/DC; v\u00ec DK\/DB = 3\/5 n\u00ean BK\/BD = 2\/5, suy ra KN = 14 \u00d7 2\/5 = 5,6cm. V\u1eady MN = MK + KN = 3,6 + 5,6 = 9,2cm.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-569180 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/dinh-ly-talet-5.jpg\" alt=\"dinh-ly-talet-5\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/dinh-ly-talet-5.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/dinh-ly-talet-5-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/dinh-ly-talet-5-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2>V\u00ed d\u1ee5 minh h\u1ecda \u0111\u1ecbnh l\u00fd Talet (c\u00f3 l\u1eddi gi\u1ea3i t\u1eebng b\u01b0\u1edbc)<\/h2>\n<p>Hai v\u00ed d\u1ee5 d\u01b0\u1edbi \u0111\u00e2y minh h\u1ecda c\u00e1ch \u00e1p d\u1ee5ng \u0111\u1ecbnh l\u00fd Talet \u0111\u1ec3 t\u00ednh \u0111\u1ed9 d\u00e0i \u0111o\u1ea1n th\u1eb3ng.<\/p>\n<p><strong>V\u00ed d\u1ee5 1:<\/strong> Cho tam gi\u00e1c ABC, D thu\u1ed9c c\u1ea1nh AB, E thu\u1ed9c c\u1ea1nh AC sao cho DE song song BC. Bi\u1ebft AD = 4cm, DB = 6cm, AC = 15cm. T\u00ednh AE v\u00e0 EC.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\nB\u01b0\u1edbc 1: AB = AD + DB = 4 + 6 = 10cm.<br \/>\nB\u01b0\u1edbc 2: V\u00ec DE song song BC n\u00ean theo \u0111\u1ecbnh l\u00fd Talet: AD\/AB = AE\/AC, t\u1ee9c 4\/10 = AE\/15.<br \/>\nB\u01b0\u1edbc 3: AE = (4 \u00d7 15)\/10 = 6cm.<br \/>\nB\u01b0\u1edbc 4: EC = AC \u2212 AE = 15 \u2212 6 = 9cm.<\/p>\n<p><strong>V\u00ed d\u1ee5 2:<\/strong> Cho tam gi\u00e1c ABC vu\u00f4ng t\u1ea1i A, AB = 9cm, AC = 12cm, BC = 15cm. D thu\u1ed9c AB v\u1edbi AD = 3cm, v\u1ebd DE song song BC (E thu\u1ed9c AC). T\u00ednh AE v\u00e0 DE.<\/p>\n<p><strong>L\u1eddi gi\u1ea3i:<\/strong><br \/>\nB\u01b0\u1edbc 1: AD\/AB = 3\/9 = 1\/3.<br \/>\nB\u01b0\u1edbc 2: V\u00ec DE song song BC n\u00ean theo h\u1ec7 qu\u1ea3 c\u1ee7a \u0111\u1ecbnh l\u00fd Talet: AD\/AB = AE\/AC = DE\/BC = 1\/3.<br \/>\nB\u01b0\u1edbc 3: AE = AC\/3 = 12\/3 = 4cm.<br \/>\nB\u01b0\u1edbc 4: DE = BC\/3 = 15\/3 = 5cm.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-569181 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/dinh-ly-talet-6.jpg\" alt=\"dinh-ly-talet-6\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/dinh-ly-talet-6.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/dinh-ly-talet-6-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/dinh-ly-talet-6-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2>\u1ee8ng d\u1ee5ng th\u1ef1c t\u1ebf c\u1ee7a \u0111\u1ecbnh l\u00fd Talet<\/h2>\n<p>Ngo\u00e0i b\u00e0i t\u1eadp trong s\u00e1ch gi\u00e1o khoa, \u0111\u1ecbnh l\u00fd Talet c\u00f2n d\u00f9ng \u0111\u1ec3 \u0111o nh\u1eefng kho\u1ea3ng c\u00e1ch ho\u1eb7c chi\u1ec1u cao kh\u00f3 \u0111o tr\u1ef1c ti\u1ebfp.<\/p>\n<p>M\u1ed9t \u1ee9ng d\u1ee5ng quen thu\u1ed9c l\u00e0 \u0111o chi\u1ec1u cao c\u00e2y ho\u1eb7c c\u1ed9t \u0111i\u1ec7n b\u1eb1ng b\u00f3ng n\u1eafng. V\u00ec tia n\u1eafng m\u1eb7t tr\u1eddi t\u1ea1i c\u00f9ng th\u1eddi \u0111i\u1ec3m coi nh\u01b0 song song nhau, m\u1ed9t c\u1ecdc th\u1eb3ng \u0111\u1ee9ng v\u00e0 v\u1eadt c\u1ea7n \u0111o t\u1ea1o th\u00e0nh hai tam gi\u00e1c \u0111\u1ed3ng d\u1ea1ng, t\u1eeb \u0111\u00f3 \u00e1p d\u1ee5ng t\u1ec9 l\u1ec7 c\u1ee7a \u0111\u1ecbnh l\u00fd Talet \u0111\u1ec3 suy ra chi\u1ec1u cao.<\/p>\n<p><strong>V\u00ed d\u1ee5:<\/strong> m\u1ed9t c\u1ecdc th\u1eb3ng \u0111\u1ee9ng cao 1,5m c\u00f3 b\u00f3ng d\u00e0i 2m. C\u00f9ng th\u1eddi \u0111i\u1ec3m \u0111\u00f3, b\u00f3ng c\u1ee7a m\u1ed9t c\u00e2y trong s\u00e2n d\u00e0i 12m. T\u1ec9 l\u1ec7: chi\u1ec1u cao c\u00e2y \/ chi\u1ec1u cao c\u1ecdc = b\u00f3ng c\u00e2y \/ b\u00f3ng c\u1ecdc, suy ra chi\u1ec1u cao c\u00e2y = 1,5 \u00d7 12\/2 = 9m.<\/p>\n<p>\u0110\u1ecbnh l\u00fd Talet c\u0169ng d\u00f9ng \u0111\u1ec3 \u0111o kho\u1ea3ng c\u00e1ch gi\u1eefa hai \u0111i\u1ec3m kh\u00f4ng th\u1ec3 \u0111o tr\u1ef1c ti\u1ebfp, ch\u1eb3ng h\u1ea1n hai b\u00ean b\u1edd s\u00f4ng, b\u1eb1ng c\u00e1ch d\u1ef1ng th\u00eam c\u00e1c \u0111o\u1ea1n th\u1eb3ng song song tr\u00ean th\u1ef1c \u0111\u1ecba.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-569182 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/dinh-ly-talet-7.jpg\" alt=\"dinh-ly-talet-7\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/dinh-ly-talet-7.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/dinh-ly-talet-7-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/dinh-ly-talet-7-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2>C\u00e2u h\u1ecfi th\u01b0\u1eddng g\u1eb7p v\u1ec1 \u0111\u1ecbnh l\u00fd Talet<\/h2>\n<h3>\u0110\u1ecbnh l\u00fd Talet ph\u00e1t bi\u1ec3u th\u1ebf n\u00e0o?<\/h3>\n<p>M\u1ed9t \u0111\u01b0\u1eddng th\u1eb3ng song song v\u1edbi m\u1ed9t c\u1ea1nh c\u1ee7a tam gi\u00e1c v\u00e0 c\u1eaft hai c\u1ea1nh c\u00f2n l\u1ea1i th\u00ec \u0111\u1ecbnh ra tr\u00ean hai c\u1ea1nh \u0111\u00f3 c\u00e1c \u0111o\u1ea1n th\u1eb3ng t\u01b0\u01a1ng \u1ee9ng t\u1ec9 l\u1ec7 (AB&#8217;\/AB = AC&#8217;\/AC).<\/p>\n<h3>\u0110\u1ecbnh l\u00fd Talet \u0111\u1ea3o d\u00f9ng \u0111\u1ec3 l\u00e0m g\u00ec?<\/h3>\n<p>D\u00f9ng \u0111\u1ec3 ch\u1ee9ng minh hai \u0111\u01b0\u1eddng th\u1eb3ng song song khi \u0111\u00e3 bi\u1ebft t\u1ec9 l\u1ec7 c\u00e1c \u0111o\u1ea1n th\u1eb3ng b\u1ecb chia tr\u00ean hai c\u1ea1nh c\u1ee7a tam gi\u00e1c, thay v\u00ec \u0111o g\u00f3c tr\u1ef1c ti\u1ebfp.<\/p>\n<h3>H\u1ec7 qu\u1ea3 c\u1ee7a \u0111\u1ecbnh l\u00fd Talet l\u00e0 g\u00ec?<\/h3>\n<p>Khi B&#8217;C&#8217; song song BC th\u00ec AB&#8217;\/AB = AC&#8217;\/AC = B&#8217;C&#8217;\/BC, t\u1ee9c tam gi\u00e1c AB&#8217;C&#8217; \u0111\u1ed3ng d\u1ea1ng v\u1edbi tam gi\u00e1c ABC.<\/p>\n<h3>\u0110\u1ecbnh l\u00fd Talet trong h\u00ecnh thang ph\u00e1t bi\u1ec3u ra sao?<\/h3>\n<p>V\u1edbi h\u00ecnh thang ABCD c\u00f3 AB song song CD, M thu\u1ed9c AD, N thu\u1ed9c BC, MN song song AB v\u00e0 CD th\u00ec AM\/MD = BN\/NC; khi M, N l\u00e0 trung \u0111i\u1ec3m, MN b\u1eb1ng trung b\u00ecnh c\u1ed9ng hai \u0111\u00e1y.<\/p>\n<h3>\u0110\u1ecbnh l\u00fd Talet \u1ee9ng d\u1ee5ng \u1edf \u0111\u00e2u trong th\u1ef1c t\u1ebf?<\/h3>\n<p>D\u00f9ng \u0111\u1ec3 \u0111o chi\u1ec1u cao c\u00e2y, c\u1ed9t \u0111i\u1ec7n b\u1eb1ng b\u00f3ng n\u1eafng, \u0111o kho\u1ea3ng c\u00e1ch gi\u1eefa hai \u0111i\u1ec3m kh\u00f4ng th\u1ec3 ti\u1ebfp c\u1eadn tr\u1ef1c ti\u1ebfp, v\u00e0 nhi\u1ec1u ph\u00e9p \u0111o gi\u00e1n ti\u1ebfp trong x\u00e2y d\u1ef1ng, tr\u1eafc \u0111\u1ecba.<\/p>\n<h3>\u0110\u1ecbnh l\u00fd Talet li\u00ean quan g\u00ec \u0111\u1ebfn tam gi\u00e1c \u0111\u1ed3ng d\u1ea1ng?<\/h3>\n<p>H\u1ec7 qu\u1ea3 c\u1ee7a \u0111\u1ecbnh l\u00fd Talet ch\u00ednh l\u00e0 m\u1ed9t c\u00e1ch ch\u1ee9ng minh hai tam gi\u00e1c \u0111\u1ed3ng d\u1ea1ng theo tr\u01b0\u1eddng h\u1ee3p g\u00f3c &#8211; g\u00f3c.<\/p>\n<h3>L\u00e0m sao ph\u00e2n bi\u1ec7t \u0111\u1ecbnh l\u00fd Talet thu\u1eadn v\u00e0 \u0111\u1ea3o?<\/h3>\n<p>\u0110\u1ecbnh l\u00fd thu\u1eadn \u0111i t\u1eeb gi\u1ea3 thi\u1ebft song song \u0111\u1ec3 suy ra t\u1ec9 l\u1ec7 \u0111o\u1ea1n th\u1eb3ng; \u0111\u1ecbnh l\u00fd \u0111\u1ea3o \u0111i ng\u01b0\u1ee3c l\u1ea1i, t\u1eeb t\u1ec9 l\u1ec7 b\u1eb1ng nhau \u0111\u1ec3 k\u1ebft lu\u1eadn hai \u0111\u01b0\u1eddng th\u1eb3ng song song.<\/p>\n<h3>\u0110\u1ecbnh l\u00fd Talet c\u00f3 \u00e1p d\u1ee5ng \u0111\u01b0\u1ee3c khi \u0111\u01b0\u1eddng th\u1eb3ng c\u1eaft ph\u1ea7n k\u00e9o d\u00e0i c\u1ee7a c\u1ea1nh tam gi\u00e1c kh\u00f4ng?<\/h3>\n<p>C\u00f3, t\u1ec9 l\u1ec7 v\u1eabn \u0111\u00fang, mi\u1ec5n l\u00e0 \u0111\u01b0\u1eddng th\u1eb3ng song song kh\u00f4ng \u0111i qua \u0111\u1ec9nh chung c\u1ee7a hai c\u1ea1nh \u0111\u00f3.<\/p>\n<h2>K\u1ebft lu\u1eadn<\/h2>\n<p>\u0110\u1ecbnh l\u00fd Talet, \u0111\u1ecbnh l\u00fd \u0111\u1ea3o v\u00e0 h\u1ec7 qu\u1ea3 c\u1ee7a n\u00f3 l\u00e0 c\u00f4ng c\u1ee5 quan tr\u1ecdng \u0111\u1ec3 t\u00ednh \u0111\u1ed9 d\u00e0i \u0111o\u1ea1n th\u1eb3ng, ch\u1ee9ng minh song song v\u00e0 ch\u1ee9ng minh \u0111\u1ed3ng d\u1ea1ng trong H\u00ecnh h\u1ecdc l\u1edbp 8. N\u1eafm ch\u1eafc t\u1eebng ph\u00e1t bi\u1ec3u, ph\u00e2n bi\u1ec7t r\u00f5 chi\u1ec1u thu\u1eadn &#8211; chi\u1ec1u \u0111\u1ea3o, \u0111\u1ed3ng th\u1eddi luy\u1ec7n th\u00eam d\u1ea1ng b\u00e0i trong h\u00ecnh thang s\u1ebd gi\u00fap b\u1ea1n l\u00e0m b\u00e0i nhanh v\u00e0 ch\u00ednh x\u00e1c h\u01a1n. N\u1ebfu mu\u1ed1n \u00f4n th\u00eam c\u00e1c h\u1ec7 th\u1ee9c li\u00ean quan, b\u1ea1n c\u00f3 th\u1ec3 \u0111\u1ecdc th\u00eam b\u00e0i <a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/he-thuc-luong-trong-tam-giac\/\">h\u1ec7 th\u1ee9c l\u01b0\u1ee3ng trong tam gi\u00e1c<\/a> tr\u00ean chuy\u00ean m\u1ee5c ki\u1ebfn th\u1ee9c c\u1ee7a Ho\u00e0ng H\u00e0 Mobile.<\/p>\n<p><script type=\"application\/ld+json\">\n{\"@context\":\"https:\/\/schema.org\",\"@type\":\"FAQPage\",\"mainEntity\":[\n{\"@type\":\"Question\",\"name\":\"\u0110\u1ecbnh l\u00fd Talet ph\u00e1t bi\u1ec3u th\u1ebf n\u00e0o?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"M\u1ed9t \u0111\u01b0\u1eddng th\u1eb3ng song song v\u1edbi m\u1ed9t c\u1ea1nh c\u1ee7a tam gi\u00e1c v\u00e0 c\u1eaft hai c\u1ea1nh c\u00f2n l\u1ea1i th\u00ec \u0111\u1ecbnh ra tr\u00ean hai c\u1ea1nh \u0111\u00f3 c\u00e1c \u0111o\u1ea1n th\u1eb3ng t\u01b0\u01a1ng \u1ee9ng t\u1ec9 l\u1ec7 (AB'\/AB = AC'\/AC).\"}},\n{\"@type\":\"Question\",\"name\":\"\u0110\u1ecbnh l\u00fd Talet \u0111\u1ea3o d\u00f9ng \u0111\u1ec3 l\u00e0m g\u00ec?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"D\u00f9ng \u0111\u1ec3 ch\u1ee9ng minh hai \u0111\u01b0\u1eddng th\u1eb3ng song song khi \u0111\u00e3 bi\u1ebft t\u1ec9 l\u1ec7 c\u00e1c \u0111o\u1ea1n th\u1eb3ng b\u1ecb chia tr\u00ean hai c\u1ea1nh c\u1ee7a tam gi\u00e1c, thay v\u00ec \u0111o g\u00f3c tr\u1ef1c ti\u1ebfp.\"}},\n{\"@type\":\"Question\",\"name\":\"H\u1ec7 qu\u1ea3 c\u1ee7a \u0111\u1ecbnh l\u00fd Talet l\u00e0 g\u00ec?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"Khi B'C' song song BC th\u00ec AB'\/AB = AC'\/AC = B'C'\/BC, t\u1ee9c tam gi\u00e1c AB'C' \u0111\u1ed3ng d\u1ea1ng v\u1edbi tam gi\u00e1c ABC.\"}},\n{\"@type\":\"Question\",\"name\":\"\u0110\u1ecbnh l\u00fd Talet trong h\u00ecnh thang ph\u00e1t bi\u1ec3u ra sao?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"V\u1edbi h\u00ecnh thang ABCD c\u00f3 AB song song CD, M thu\u1ed9c AD, N thu\u1ed9c BC, MN song song AB v\u00e0 CD th\u00ec AM\/MD = BN\/NC; khi M, N l\u00e0 trung \u0111i\u1ec3m, MN b\u1eb1ng trung b\u00ecnh c\u1ed9ng hai \u0111\u00e1y.\"}},\n{\"@type\":\"Question\",\"name\":\"\u0110\u1ecbnh l\u00fd Talet \u1ee9ng d\u1ee5ng \u1edf \u0111\u00e2u trong th\u1ef1c t\u1ebf?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"D\u00f9ng \u0111\u1ec3 \u0111o chi\u1ec1u cao c\u00e2y, c\u1ed9t \u0111i\u1ec7n b\u1eb1ng b\u00f3ng n\u1eafng, \u0111o kho\u1ea3ng c\u00e1ch gi\u1eefa hai \u0111i\u1ec3m kh\u00f4ng th\u1ec3 ti\u1ebfp c\u1eadn tr\u1ef1c ti\u1ebfp, v\u00e0 nhi\u1ec1u ph\u00e9p \u0111o gi\u00e1n ti\u1ebfp trong x\u00e2y d\u1ef1ng, tr\u1eafc \u0111\u1ecba.\"}},\n{\"@type\":\"Question\",\"name\":\"\u0110\u1ecbnh l\u00fd Talet li\u00ean quan g\u00ec \u0111\u1ebfn tam gi\u00e1c \u0111\u1ed3ng d\u1ea1ng?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"H\u1ec7 qu\u1ea3 c\u1ee7a \u0111\u1ecbnh l\u00fd Talet ch\u00ednh l\u00e0 m\u1ed9t c\u00e1ch ch\u1ee9ng minh hai tam gi\u00e1c \u0111\u1ed3ng d\u1ea1ng theo tr\u01b0\u1eddng h\u1ee3p g\u00f3c - g\u00f3c.\"}},\n{\"@type\":\"Question\",\"name\":\"L\u00e0m sao ph\u00e2n bi\u1ec7t \u0111\u1ecbnh l\u00fd Talet thu\u1eadn v\u00e0 \u0111\u1ea3o?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"\u0110\u1ecbnh l\u00fd thu\u1eadn \u0111i t\u1eeb gi\u1ea3 thi\u1ebft song song \u0111\u1ec3 suy ra t\u1ec9 l\u1ec7 \u0111o\u1ea1n th\u1eb3ng; \u0111\u1ecbnh l\u00fd \u0111\u1ea3o \u0111i ng\u01b0\u1ee3c l\u1ea1i, t\u1eeb t\u1ec9 l\u1ec7 b\u1eb1ng nhau \u0111\u1ec3 k\u1ebft lu\u1eadn hai \u0111\u01b0\u1eddng th\u1eb3ng song song.\"}},\n{\"@type\":\"Question\",\"name\":\"\u0110\u1ecbnh l\u00fd Talet c\u00f3 \u00e1p d\u1ee5ng \u0111\u01b0\u1ee3c khi \u0111\u01b0\u1eddng th\u1eb3ng c\u1eaft ph\u1ea7n k\u00e9o d\u00e0i c\u1ee7a c\u1ea1nh tam gi\u00e1c kh\u00f4ng?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"C\u00f3, t\u1ec9 l\u1ec7 v\u1eabn \u0111\u00fang, mi\u1ec5n l\u00e0 \u0111\u01b0\u1eddng th\u1eb3ng song song kh\u00f4ng \u0111i qua \u0111\u1ec9nh chung c\u1ee7a hai c\u1ea1nh \u0111\u00f3.\"}}\n]}\n<\/script><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0110\u1ecbnh l\u00fd Talet l\u00e0 ki\u1ebfn th\u1ee9c n\u1ec1n t\u1ea3ng c\u1ee7a H\u00ecnh h\u1ecdc l\u1edbp 8, th\u01b0\u1eddng xu\u1ea5t hi\u1ec7n trong c\u00e1c b\u00e0i t\u00ednh \u0111\u1ed9 d\u00e0i \u0111o\u1ea1n th\u1eb3ng, ch\u1ee9ng minh song song ho\u1eb7c ch\u1ee9ng minh tam gi\u00e1c \u0111\u1ed3ng d\u1ea1ng. Nhi\u1ec1u b\u1ea1n nh\u1edb \u0111\u01b0\u1ee3c c\u00f4ng th\u1ee9c nh\u01b0ng d\u1ec5 nh\u1ea7m gi\u1eefa \u0111\u1ecbnh l\u00fd thu\u1eadn, \u0111\u1ecbnh l\u00fd \u0111\u1ea3o v\u00e0 h\u1ec7 qu\u1ea3, d\u1eabn [&hellip;]<\/p>\n","protected":false},"author":65,"featured_media":569175,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"\u0111\u1ecbnh l\u00fd talet","_yoast_wpseo_title":"\u0110\u1ecbnh l\u00fd Talet: n\u1ed9i dung, h\u1ec7 qu\u1ea3 v\u00e0 v\u00ed d\u1ee5","_yoast_wpseo_metadesc":"\u0110\u1ecbnh l\u00fd Talet l\u00e0 g\u00ec? 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