{"id":41070,"date":"2025-06-28T05:55:47","date_gmt":"2025-06-28T05:55:47","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=41070"},"modified":"2025-06-28T05:55:48","modified_gmt":"2025-06-28T05:55:48","slug":"find-the-length-of-the-missing-side","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/find-the-length-of-the-missing-side\/","title":{"rendered":"Find the length of the missing side."},"content":{"rendered":"\n<p>Find the length of the missing side. 53 28 leg a = leg b = hypotenuse c =<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"828\" height=\"828\" src=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/image-434.png\" alt=\"\" class=\"wp-image-41071\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/image-434.png 828w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/image-434-300x300.png 300w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/image-434-150x150.png 150w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/image-434-768x768.png 768w\" sizes=\"auto, (max-width: 828px) 100vw, 828px\" \/><\/figure>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To solve this right triangle problem, we&#8217;re given:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>One leg = 28 units<\/li>\n\n\n\n<li>Hypotenuse = 53 units<\/li>\n\n\n\n<li>We are missing the length of the other leg.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step-by-step solution using the Pythagorean Theorem<\/h3>\n\n\n\n<p>The Pythagorean Theorem says:a2+b2=c2a^2 + b^2 = c^2a2+b2=c2<\/p>\n\n\n\n<p>Where:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>aaa and bbb are the legs,<\/li>\n\n\n\n<li>ccc is the hypotenuse.<\/li>\n<\/ul>\n\n\n\n<p>Here:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>One leg a=28a = 28a=28<\/li>\n\n\n\n<li>Hypotenuse c=53c = 53c=53<\/li>\n\n\n\n<li>We need to find the other leg bbb<\/li>\n<\/ul>\n\n\n\n<p>282+b2=53228^2 + b^2 = 53^2282+b2=532784+b2=2809784 + b^2 = 2809784+b2=2809b2=2809\u2212784=2025b^2 = 2809 &#8211; 784 = 2025b2=2809\u2212784=2025b=2025=45b = \\sqrt{2025} = 45b=2025\u200b=45<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Final answers:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>leg a = 28<\/li>\n\n\n\n<li>leg b = 45<\/li>\n\n\n\n<li>hypotenuse c = 53<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation <\/h3>\n\n\n\n<p>This problem is a classic example of a right triangle where you&#8217;re given one leg and the hypotenuse and need to find the missing leg. In geometry, right triangles follow a special relationship called the Pythagorean Theorem. This theorem helps relate the lengths of the sides of a right triangle using squares of the lengths.<\/p>\n\n\n\n<p>The theorem formula is:a2+b2=c2a^2 + b^2 = c^2a2+b2=c2<\/p>\n\n\n\n<p>Here, ccc must always be the hypotenuse (the longest side, across from the right angle), while aaa and bbb are the two shorter legs.<\/p>\n\n\n\n<p>In this question, the triangle has a right angle, with one leg given as 28 and the hypotenuse as 53. We&#8217;re missing the second leg. So, we plug the known values into the formula:<\/p>\n\n\n\n<p>Square the known leg: 282=78428^2 = 784282=784<br>Square the hypotenuse: 532=280953^2 = 2809532=2809<\/p>\n\n\n\n<p>Now subtract the square of the known leg from the square of the hypotenuse to isolate the unknown leg:b2=2809\u2212784=2025b^2 = 2809 &#8211; 784 = 2025b2=2809\u2212784=2025<\/p>\n\n\n\n<p>Take the square root of 2025 to get the missing leg:2025=45\\sqrt{2025} = 452025\u200b=45<\/p>\n\n\n\n<p>So, the missing leg is 45. This process not only gives us the correct side length but also demonstrates how the Pythagorean Theorem applies to real problems.\u2705\ud83d\udcd0<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"852\" height=\"1024\" src=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1316.jpeg\" alt=\"\" class=\"wp-image-41072\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1316.jpeg 852w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1316-250x300.jpeg 250w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1316-768x923.jpeg 768w\" sizes=\"auto, (max-width: 852px) 100vw, 852px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Find the length of the missing side. 53 28 leg a = leg b = hypotenuse c = The Correct Answer and Explanation is: To solve this right triangle problem, we&#8217;re given: Step-by-step solution using the Pythagorean Theorem The Pythagorean Theorem says:a2+b2=c2a^2 + b^2 = c^2a2+b2=c2 Where: Here: 282+b2=53228^2 + b^2 = 53^2282+b2=532784+b2=2809784 + b^2 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-41070","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/41070","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=41070"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/41070\/revisions"}],"predecessor-version":[{"id":41073,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/41070\/revisions\/41073"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=41070"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=41070"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=41070"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}