{"id":275409,"date":"2025-07-28T19:21:42","date_gmt":"2025-07-28T19:21:42","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=275409"},"modified":"2025-07-28T19:21:44","modified_gmt":"2025-07-28T19:21:44","slug":"do-aho-dabc-can-dai-a-ohen-tia-do-cice-dia-bc-lay-oom-d-eg-hhen-tia-da-aa-tia-cd","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/28\/do-aho-dabc-can-dai-a-ohen-tia-do-cice-dia-bc-lay-oom-d-eg-hhen-tia-da-aa-tia-cd\/","title":{"rendered":"Do aho DABC c\u0101n dai A ohen tia d\u014d cice dia BC lay oom D \u00e9g hhen tia d\u00e0 aa tia cD"},"content":{"rendered":"\n
\"\"<\/figure>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

Here is the transcription of the handwritten Vietnamese text from the image.<\/p>\n\n\n\n

Transcription:<\/strong><\/p>\n\n\n\n

Cho \u0394ABC c\u00e2n t\u1ea1i A. Tr\u00ean tia \u0111\u1ed1i c\u1ee7a tia AC l\u1ea5y \u0111i\u1ec3m D, tr\u00ean tia \u0111\u1ed1i c\u1ee7a tia CB l\u1ea5y \u0111i\u1ec3m E sao cho BD = CE. K\u1ebb BH \u22a5 AD t\u1ea1i H, v\u00e0 CK \u22a5 AE t\u1ea1i K.
CMR:
a) \u0394BHD ~ \u0394CKE
b) \u0394AHB ~ \u0394AKC<\/p>\n\n\n\n

Explanation:<\/strong><\/p>\n\n\n\n

The image contains a handwritten mathematics problem in the Vietnamese language. It is a geometry question intended for a middle or high school level, focusing on proving the similarity of triangles based on a given set of conditions.<\/p>\n\n\n\n

The problem begins by defining an isosceles triangle, which is a triangle with two sides of equal length. The statement “Cho \u0394ABC c\u00e2n t\u1ea1i A” translates to “Given an isosceles triangle ABC with vertex A,” which implies that the sides AB and AC are equal.<\/p>\n\n\n\n

Next, the problem describes the construction of additional points and lines. “Tr\u00ean tia \u0111\u1ed1i c\u1ee7a tia AC l\u1ea5y \u0111i\u1ec3m D” means “On the ray opposite to ray AC, take a point D.” This extends the line segment AC past point C. Similarly, “tr\u00ean tia \u0111\u1ed1i c\u1ee7a tia CB l\u1ea5y \u0111i\u1ec3m E” means “on the ray opposite to ray CB, take a point E,” extending the segment CB past B. A key condition is given: “sao cho BD = CE,” meaning the length of the segment BD is equal to the length of segment CE.<\/p>\n\n\n\n

Following this setup, two perpendicular lines are drawn. “K\u1ebb BH \u22a5 AD t\u1ea1i H” means “Draw a line from point B that is perpendicular to the line AD, intersecting at point H.” This makes triangle BHD a right-angled triangle. Likewise, “v\u00e0 CK \u22a5 AE t\u1ea1i K” translates to “and draw a line from C perpendicular to AE, intersecting at point K,” creating the right-angled triangle CKE.<\/p>\n\n\n\n

Finally, the problem asks for proof, indicated by “CMR” (an abbreviation for “Ch\u1ee9ng minh r\u1eb1ng,” or “Prove that”). There are two parts to the proof:
a) Prove that triangle BHD is similar to triangle CKE (\u0394BHD ~ \u0394CKE).
b) Prove that triangle AHB is similar to triangle AKC (\u0394AHB ~ \u0394AKC).<\/p>\n\n\n\n

\"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

The Correct Answer and Explanation is: Here is the transcription of the handwritten Vietnamese text from the image. Transcription: Cho \u0394ABC c\u00e2n t\u1ea1i A. Tr\u00ean tia \u0111\u1ed1i c\u1ee7a tia AC l\u1ea5y \u0111i\u1ec3m D, tr\u00ean tia \u0111\u1ed1i c\u1ee7a tia CB l\u1ea5y \u0111i\u1ec3m E sao cho BD = CE. K\u1ebb BH \u22a5 AD t\u1ea1i H, v\u00e0 CK […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-275409","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/275409","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=275409"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/275409\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=275409"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=275409"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=275409"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}