{"id":133581,"date":"2024-08-23T19:49:48","date_gmt":"2024-08-23T19:49:48","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=133581"},"modified":"2024-08-23T19:49:50","modified_gmt":"2024-08-23T19:49:50","slug":"the-hypotenuse-side-c-of-a-triangle-is-13-inches-long-which-of-the-following-pairs-of-measurements-could-be-the-correct","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/08\/23\/the-hypotenuse-side-c-of-a-triangle-is-13-inches-long-which-of-the-following-pairs-of-measurements-could-be-the-correct\/","title":{"rendered":"The hypotenuse (side C) of a triangle is 13 inches long. Which of the following pairs of measurements could be the correct"},"content":{"rendered":"\n<p>The hypotenuse (side C) of a triangle is 13 inches long. Which of the following pairs of measurements could be the correct for the lengths of the other two sides of the triangle? (Note: A2 + B2= C2)<\/p>\n\n\n\n<p>A.<br>5 inches, 12 inches<\/p>\n\n\n\n<p>B.<br>2.5 inches, 6 inches<\/p>\n\n\n\n<p>C.<br>2.5 inches, 4 inches<\/p>\n\n\n\n<p>D.<br>5 inches, 8 inches<\/p>\n\n\n\n<p>To determine which pair of measurements for the other two sides of the triangle is correct, we need to use the Pythagorean theorem, which states:<\/p>\n\n\n\n<p>A2+B2=C2A^2 + B^2 = C^2A2+B2=C2<\/p>\n\n\n\n<p>where CCC is the hypotenuse of the right triangle.<\/p>\n\n\n\n<p>In this case, the hypotenuse CCC is 13 inches. We need to check which pair of measurements for AAA and BBB satisfies:<\/p>\n\n\n\n<p>A2+B2=132A^2 + B^2 = 13^2A2+B2=132 A2+B2=169A^2 + B^2 = 169A2+B2=169<\/p>\n\n\n\n<p>Let&#8217;s evaluate each option:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>A. 5 inches, 12 inches<\/strong>52+122=25+144=1695^2 + 12^2 = 25 + 144 = 16952+122=25+144=169This satisfies the Pythagorean theorem.<\/li>\n\n\n\n<li><strong>B. 2.5 inches, 6 inches<\/strong>2.52+62=6.25+36=42.252.5^2 + 6^2 = 6.25 + 36 = 42.252.52+62=6.25+36=42.25This does not satisfy the Pythagorean theorem.<\/li>\n\n\n\n<li><strong>C. 2.5 inches, 4 inches<\/strong>2.52+42=6.25+16=22.252.5^2 + 4^2 = 6.25 + 16 = 22.252.52+42=6.25+16=22.25This does not satisfy the Pythagorean theorem.<\/li>\n\n\n\n<li><strong>D. 5 inches, 8 inches<\/strong>52+82=25+64=895^2 + 8^2 = 25 + 64 = 8952+82=25+64=89This does not satisfy the Pythagorean theorem.<\/li>\n<\/ul>\n\n\n\n<p><strong>Correct answer:<\/strong> A<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The hypotenuse (side C) of a triangle is 13 inches long. Which of the following pairs of measurements could be the correct for the lengths of the other two sides of the triangle? (Note: A2 + B2= C2) A.5 inches, 12 inches B.2.5 inches, 6 inches C.2.5 inches, 4 inches D.5 inches, 8 inches To [&hellip;]<\/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-133581","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/133581","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=133581"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/133581\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=133581"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=133581"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=133581"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}