{"id":665487,"date":"2023-07-25T13:27:42","date_gmt":"2023-07-25T07:57:42","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=665487"},"modified":"2025-05-06T11:03:37","modified_gmt":"2025-05-06T05:33:37","slug":"pythagorean-triples","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/topics\/pythagorean-triples\/","title":{"rendered":"Pythagorean Triples"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/topics\/pythagorean-triples\/#Introduction_to_Pythagorean_triples\" title=\"Introduction to Pythagorean triples\">Introduction to Pythagorean triples<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/topics\/pythagorean-triples\/#What_are_Pythagorean_Triples\" title=\"What are Pythagorean Triples?\">What are Pythagorean Triples?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/topics\/pythagorean-triples\/#Pythagoras_Triples_Table\" title=\"Pythagoras Triples Table\">Pythagoras Triples Table<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/topics\/pythagorean-triples\/#Pythagoras_Triples_Formula\" title=\"Pythagoras Triples Formula\">Pythagoras Triples Formula<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/topics\/pythagorean-triples\/#How_to_Form_Pythagorean_Triples\" title=\"How to Form Pythagorean Triples?\">How to Form Pythagorean Triples?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/topics\/pythagorean-triples\/#Pythagorean_Triples_Problems\" title=\"Pythagorean Triples Problems\">Pythagorean Triples Problems<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/infinitylearn.com\/surge\/topics\/pythagorean-triples\/#FAQs_on_Pythagorean_Triples\" title=\"FAQs on Pythagorean Triples\">FAQs on Pythagorean Triples<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/infinitylearn.com\/surge\/topics\/pythagorean-triples\/#Is_28_21_and_35_a_Pythagorean_triplet\" title=\"Is 28, 21, and 35 a Pythagorean triplet?\">Is 28, 21, and 35 a Pythagorean triplet?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/infinitylearn.com\/surge\/topics\/pythagorean-triples\/#Which_of_the_following_are_Pythagorean_triplets_a_9_40_41_b_8_15_18_c_7_24_25\" title=\"Which of the following are Pythagorean triplets?&lt;br \/&gt;\na) (9, 40, 41)&lt;br \/&gt;\nb) (8, 15, 18)&lt;br \/&gt;\nc) (7, 24, 25)\">Which of the following are Pythagorean triplets?&lt;br \/&gt;\na) (9, 40, 41)&lt;br \/&gt;\nb) (8, 15, 18)&lt;br \/&gt;\nc) (7, 24, 25)<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/infinitylearn.com\/surge\/topics\/pythagorean-triples\/#Which_of_the_following_is_not_a_Pythagorean_triplet_among_the_following_sets_a_9_40_41_b_8_15_18_c_7_24_25\" title=\" Which of the following is not a Pythagorean triplet among the following sets:a) (9, 40, 41) b) (8, 15, 18) c) (7, 24, 25)\"> Which of the following is not a Pythagorean triplet among the following sets:a) (9, 40, 41) b) (8, 15, 18) c) (7, 24, 25)<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Introduction_to_Pythagorean_triples\"><\/span>Introduction to Pythagorean triples<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Pythagorean triples, denoted by (a, b, c), play a significant role in mathematics, particularly in geometry. These triples are sets of three positive integers that satisfy the fundamental Pythagorean theorem, which states that in a right-angled triangle, the sum of the squares of the lengths of the two shorter sides (a and b) is equal to the square of the length of the longest side, the hypotenuse (c).<br \/>\nMathematically, it can be expressed as a2 + b2 = c2.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone wp-image-665489 size-full\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/07\/Pythagorean-Triples.png\" alt=\"Pythagorean Triples\" width=\"408\" height=\"250\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/07\/Pythagorean-Triples.png 408w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/07\/Pythagorean-Triples-300x184.png 300w\" sizes=\"(max-width: 408px) 100vw, 408px\" \/><\/p>\n<p>In a right-angled triangle, the side &#8216;c&#8217; represents the hypotenuse, opposite to the right angle, while the sides &#8216;a&#8217; and &#8216;b&#8217; correspond to the perpendicular and base, respectively. The well-known and simplest Pythagorean triple is (3, 4, 5), where 32 + 42 = 52<\/p>\n<p>Pythagorean triples can be traced back to the ancient Greek mathematician Pythagoras, who lived around 570 BC. Pythagoras made groundbreaking contributions to various fields, such as mathematics, science, and philosophy. His fascination with triangles containing right angles led to the discovery of the <strong>Pythagorean theorem<\/strong>, a fundamental geometric principle that remains widely studied and applied today.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"What_are_Pythagorean_Triples\"><\/span>What are Pythagorean Triples?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Pythagorean triples are comprised of three positive integers that satisfy the Pythagorean Theorem.<br \/>\nFor instance, consider the classic Pythagorean triple (3, 4, 5).<br \/>\nBy evaluating the equation, we find that 32 + 42 equals 52, which is 9 + 16 = 25. Hence, the triplet (3, 4, 5) perfectly adheres to the Pythagorean Theorem.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Pythagoras_Triples_Table\"><\/span>Pythagoras Triples Table<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<table class=\"table table-bordered table-striped\" cellspacing=\"0\" cellpadding=\"5\">\n<tbody>\n<tr>\n<td>(3, 4, 5)<\/td>\n<td>(5, 12, 13)<\/td>\n<td>(8, 15, 17)<\/td>\n<td>(7, 24, 25)<\/td>\n<\/tr>\n<tr>\n<td>(20, 21, 29)<\/td>\n<td>(12, 35, 37)<\/td>\n<td>(9, 40, 41)<\/td>\n<td>(28, 45, 53)<\/td>\n<\/tr>\n<tr>\n<td>(11, 60, 61)<\/td>\n<td>(16, 63, 65)<\/td>\n<td>(33, 56, 65)<\/td>\n<td>(48, 55, 73)<\/td>\n<\/tr>\n<tr>\n<td>(13, 84, 85)<\/td>\n<td>(36, 77, 85)<\/td>\n<td>(36, 77, 85)<\/td>\n<td>(65, 72, 97)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<div><\/div>\n<div><a href=\"https:\/\/infinitylearn.com\/surge\/articles\/math-articles\"><button class=\"btn btn-dark mx-2 my-2 px-4\" style=\"border-radius: 50px;\" type=\"button\">Math Articles<br \/>\n<\/button><\/a> <a href=\"https:\/\/infinitylearn.com\/surge\/formulas\/math-formulas\/\"><button class=\"btn btn-dark mx-2 my-2 px-4\" style=\"border-radius: 50px;\" type=\"button\">Math Formulas<\/button><\/a> <a href=\"https:\/\/infinitylearn.com\/surge\/topics\/transpose-of-a-matrix\/\"><button class=\"btn btn-dark mx-2 my-2 px-4\" style=\"border-radius: 50px;\" type=\"button\">Transpose of a matrix<\/button><\/a><\/div>\n<h3 class=\"table-responsive\"><span class=\"ez-toc-section\" id=\"Pythagoras_Triples_Formula\"><\/span>Pythagoras Triples Formula<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"table-responsive\">The Pythagorean Triples Formula states that in a right-angled triangle, the squares of the two shorter sides (p and q) sum up to the square of the longest side (r).<br \/>\nExpressed as p2 + q2 = r2, this fundamental theorem has diverse applications in geometry and trigonometry, enabling the calculation of unknown side lengths in right-angled triangles.<\/div>\n<div><\/div>\n<h3 class=\"table-responsive\"><span class=\"ez-toc-section\" id=\"How_to_Form_Pythagorean_Triples\"><\/span>How to Form Pythagorean Triples?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"table-responsive\">To form Pythagorean triples, follow these steps based on whether the number is odd or even:<\/div>\n<div><\/div>\n<div class=\"table-responsive\"><strong>Case 1:<\/strong> If the number is odd:<\/div>\n<div class=\"table-responsive\">Let the number be &#8220;x.&#8221;<\/div>\n<div class=\"table-responsive\">The Pythagorean triple is: x, (x2\/2) &#8211; 0.5, (x2\/2) + 0.5.<br \/>\nExample: For x = 7<br \/>\n(x2\/2) &#8211; 0.5 = (49\/2) &#8211; 0.5 = 24.5 &#8211; 0.5 = 24<br \/>\n(x2\/2) + 0.5 = (49\/2) + 0.5 = 24.5 + 0.5 = 25<br \/>\nPythagorean triple: (7, 24, 25)<\/div>\n<div><\/div>\n<div class=\"table-responsive\"><strong>Case 2:<\/strong> If the number is even:<br \/>\nLet the number be &#8220;x.&#8221;<br \/>\nThe Pythagorean triple is: x, (x\/2)2 &#8211; 1, (x\/2)2 + 1.<br \/>\nExample: For x = 16<br \/>\n(x\/2)2 &#8211; 1 = (16\/2)2 &#8211; 1 = 82 &#8211; 1 = 63<br \/>\n(x\/2)2 + 1 = (16\/2)2 + 1 = 82 + 1 = 65<br \/>\nPythagorean triple: (16, 63, 65)<\/div>\n<div class=\"table-responsive\"><strong>Note:<\/strong> These methods generate infinitely many Pythagorean triples, but not all possible triples can be obtained using these approaches. For instance, the triple (20, 21, 29) cannot be formed using these methods.<\/div>\n<div><\/div>\n<h3 class=\"table-responsive\"><span class=\"ez-toc-section\" id=\"Pythagorean_Triples_Problems\"><\/span>Pythagorean Triples Problems<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"table-responsive\"><strong>Example 1: Determine whether (9, 40, 41) is a Pythagorean triple or not.<\/strong><\/div>\n<div><\/div>\n<div class=\"table-responsive\">Solution:<br \/>\nLet&#8217;s check if (9, 40, 41) satisfies the Pythagorean Theorem.<br \/>\n(a, b, c) = (9, 40, 41)<br \/>\nThe Pythagorean Theorem is given by a2 + b2 = c2<br \/>\nNow, plug in the values:<br \/>\n92 + 402 = 412<br \/>\n81 + 1600 = 1681<br \/>\n1681 = 1681<br \/>\nSince the sum of the squares of the two shorter sides (9 and 40) equals the square of the longest side (41), the given set of integers (9, 40, 41) satisfies the Pythagorean Theorem. Therefore, (9, 40, 41) is indeed a Pythagorean triple.<\/div>\n<div><\/div>\n<div class=\"table-responsive\"><strong>Example 2: Investigate whether (10, 21, 29) forms a Pythagorean triple.<\/strong><\/div>\n<div class=\"table-responsive\">Solution:<br \/>\nLet&#8217;s apply the Pythagorean Theorem to (10, 21, 29).<br \/>\n(a, b, c) = (10, 21, 29)<br \/>\nUsing the Pythagorean Theorem formula, we have:<br \/>\n102 + 212 = 292<br \/>\n100 + 441 = 841<br \/>\n541 \u2260 841<\/div>\n<div class=\"table-responsive\">The result shows that the sum of the squares of the two shorter sides (10 and 21) does not equal the square of the longest side (29). Therefore, the given set of integers (10, 21, 29) does not satisfy the Pythagorean Theorem, and it is not a Pythagorean triple.<\/div>\n<div><\/div>\n<h2 class=\"table-responsive\"><span class=\"ez-toc-section\" id=\"FAQs_on_Pythagorean_Triples\"><\/span>FAQs on Pythagorean Triples<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div><\/div>\n<div>\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"Is_28_21_and_35_a_Pythagorean_triplet\"><\/span>Is 28, 21, and 35 a Pythagorean triplet?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tYes, to check, we apply the Pythagorean Theorem:<br> 28<sub>2<\/sub> + 21<sub>2<\/sub> = 784 + 441 = 1225<br> 35<sub>2<\/sub> = 1225 Since 28, 21, and 35 satisfy the equation a<sub>2<\/sub> + b<sub>2<\/sub> = c<sub>2<\/sub>, they form a Pythagorean triplet. \t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"Which_of_the_following_are_Pythagorean_triplets_a_9_40_41_b_8_15_18_c_7_24_25\"><\/span>Which of the following are Pythagorean triplets?&lt;br \/&gt;\na) (9, 40, 41)&lt;br \/&gt;\nb) (8, 15, 18)&lt;br \/&gt;\nc) (7, 24, 25)<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tApplying the Pythagorean Theorem:<br \/>\na) 9<sub>2<\/sub> + 40<sub>2<\/sub> = 1681 \u2260 41<sub>2<\/sub> (Not a Pythagorean triplet) b) 8<sub>2<\/sub> + 15<sub>2<\/sub> = 289 = 17<sub>2<\/sub> (Pythagorean triplet)<br \/>\nc) 7<sub>2<\/sub> + 24<sub>2<\/sub> = 625 = 25<sub>2<\/sub> (Pythagorean triplet) The Pythagorean triplets are (8, 15, 18) and (7, 24, 25). \t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"Which_of_the_following_is_not_a_Pythagorean_triplet_among_the_following_sets_a_9_40_41_b_8_15_18_c_7_24_25\"><\/span> Which of the following is not a Pythagorean triplet among the following sets:a) (9, 40, 41) b) (8, 15, 18) c) (7, 24, 25)<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tThe set (9, 40, 41) is not a Pythagorean triplet since 9<sub>2<\/sub> + 40<sub>2<\/sub> \u2260 41<sub>2<\/sub>.\t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\n<script type=\"application\/ld+json\">\n\t{\n\t\t\"@context\": \"https:\/\/schema.org\",\n\t\t\"@type\": \"FAQPage\",\n\t\t\"mainEntity\": [\n\t\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"Is 28, 21, and 35 a Pythagorean triplet?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"Yes, to check, we apply the Pythagorean Theorem:&lt;br&gt; 282 + 212 = 784 + 441 = 1225&lt;br&gt; 352 = 1225 Since 28, 21, and 35 satisfy the equation a2 + b2 = c2, they form a Pythagorean triplet.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"Which of the following are Pythagorean triplets?<br \/>\na) (9, 40, 41)<br \/>\nb) (8, 15, 18)<br \/>\nc) (7, 24, 25)\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"Applying the Pythagorean Theorem:<br\/>\na) 92 + 402 = 1681 \u2260 412 (Not a Pythagorean triplet) b) 82 + 152 = 289 = 172 (Pythagorean triplet)<br\/>\nc) 72 + 242 = 625 = 252 (Pythagorean triplet) The Pythagorean triplets are (8, 15, 18) and (7, 24, 25).\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \" Which of the following is not a Pythagorean triplet among the following sets:a) (9, 40, 41) b) (8, 15, 18) c) (7, 24, 25)\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"The set (9, 40, 41) is not a Pythagorean triplet since 92 + 402 \u2260 412.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t\t\t\t]\n\t}\n<\/script>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Introduction to Pythagorean triples Pythagorean triples, denoted by (a, b, c), play a significant role in mathematics, particularly in geometry. [&hellip;]<\/p>\n","protected":false},"author":53,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Pythagorean Triples","_yoast_wpseo_title":"Pythagorean Triples - Definition, Formula and Examples","_yoast_wpseo_metadesc":"Pythagorean Triples are sets of three positive integers that satisfy the Pythagorean theorem: a^2 + b^2 = c^2. Example: 3, 4, 5.","custom_permalink":"topics\/pythagorean-triples\/"},"categories":[8594,8591],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Pythagorean Triples - Definition, Formula and Examples<\/title>\n<meta name=\"description\" content=\"Pythagorean Triples are sets of three positive integers that satisfy the Pythagorean theorem: a^2 + b^2 = c^2. Example: 3, 4, 5.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/infinitylearn.com\/surge\/topics\/pythagorean-triples\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Pythagorean Triples - Definition, Formula and Examples\" \/>\n<meta property=\"og:description\" content=\"Pythagorean Triples are sets of three positive integers that satisfy the Pythagorean theorem: a^2 + b^2 = c^2. Example: 3, 4, 5.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/infinitylearn.com\/surge\/topics\/pythagorean-triples\/\" \/>\n<meta property=\"og:site_name\" content=\"Infinity Learn by Sri Chaitanya\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/InfinityLearn.SriChaitanya\/\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-25T07:57:42+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2025-05-06T05:33:37+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/07\/Pythagorean-Triples.png\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@InfinityLearn_\" \/>\n<meta name=\"twitter:site\" content=\"@InfinityLearn_\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Ankit\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"5 minutes\" \/>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Pythagorean Triples - Definition, Formula and Examples","description":"Pythagorean Triples are sets of three positive integers that satisfy the Pythagorean theorem: a^2 + b^2 = c^2. Example: 3, 4, 5.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/infinitylearn.com\/surge\/topics\/pythagorean-triples\/","og_locale":"en_US","og_type":"article","og_title":"Pythagorean Triples - Definition, Formula and Examples","og_description":"Pythagorean Triples are sets of three positive integers that satisfy the Pythagorean theorem: a^2 + b^2 = c^2. Example: 3, 4, 5.","og_url":"https:\/\/infinitylearn.com\/surge\/topics\/pythagorean-triples\/","og_site_name":"Infinity Learn by Sri Chaitanya","article_publisher":"https:\/\/www.facebook.com\/InfinityLearn.SriChaitanya\/","article_published_time":"2023-07-25T07:57:42+00:00","article_modified_time":"2025-05-06T05:33:37+00:00","og_image":[{"url":"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/07\/Pythagorean-Triples.png"}],"twitter_card":"summary_large_image","twitter_creator":"@InfinityLearn_","twitter_site":"@InfinityLearn_","twitter_misc":{"Written by":"Ankit","Est. reading time":"5 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Organization","@id":"https:\/\/infinitylearn.com\/surge\/#organization","name":"Infinity Learn","url":"https:\/\/infinitylearn.com\/surge\/","sameAs":["https:\/\/www.facebook.com\/InfinityLearn.SriChaitanya\/","https:\/\/www.instagram.com\/infinitylearn_by_srichaitanya\/","https:\/\/www.linkedin.com\/company\/infinity-learn-by-sri-chaitanya\/","https:\/\/www.youtube.com\/c\/InfinityLearnEdu","https:\/\/twitter.com\/InfinityLearn_"],"logo":{"@type":"ImageObject","@id":"https:\/\/infinitylearn.com\/surge\/#logo","inLanguage":"en-US","url":"","contentUrl":"","caption":"Infinity Learn"},"image":{"@id":"https:\/\/infinitylearn.com\/surge\/#logo"}},{"@type":"WebSite","@id":"https:\/\/infinitylearn.com\/surge\/#website","url":"https:\/\/infinitylearn.com\/surge\/","name":"Infinity Learn by Sri Chaitanya","description":"Surge","publisher":{"@id":"https:\/\/infinitylearn.com\/surge\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/infinitylearn.com\/surge\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"ImageObject","@id":"https:\/\/infinitylearn.com\/surge\/topics\/pythagorean-triples\/#primaryimage","inLanguage":"en-US","url":"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/07\/Pythagorean-Triples.png","contentUrl":"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/07\/Pythagorean-Triples.png","width":408,"height":250,"caption":"Pythagorean Triples"},{"@type":"WebPage","@id":"https:\/\/infinitylearn.com\/surge\/topics\/pythagorean-triples\/#webpage","url":"https:\/\/infinitylearn.com\/surge\/topics\/pythagorean-triples\/","name":"Pythagorean Triples - Definition, Formula and Examples","isPartOf":{"@id":"https:\/\/infinitylearn.com\/surge\/#website"},"primaryImageOfPage":{"@id":"https:\/\/infinitylearn.com\/surge\/topics\/pythagorean-triples\/#primaryimage"},"datePublished":"2023-07-25T07:57:42+00:00","dateModified":"2025-05-06T05:33:37+00:00","description":"Pythagorean Triples are sets of three positive integers that satisfy the Pythagorean theorem: a^2 + b^2 = c^2. Example: 3, 4, 5.","breadcrumb":{"@id":"https:\/\/infinitylearn.com\/surge\/topics\/pythagorean-triples\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/infinitylearn.com\/surge\/topics\/pythagorean-triples\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/infinitylearn.com\/surge\/topics\/pythagorean-triples\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/infinitylearn.com\/surge\/"},{"@type":"ListItem","position":2,"name":"Pythagorean Triples"}]},{"@type":"Article","@id":"https:\/\/infinitylearn.com\/surge\/topics\/pythagorean-triples\/#article","isPartOf":{"@id":"https:\/\/infinitylearn.com\/surge\/topics\/pythagorean-triples\/#webpage"},"author":{"@id":"https:\/\/infinitylearn.com\/surge\/#\/schema\/person\/d647d4ff3a1111ff8eeccdb6b12651cb"},"headline":"Pythagorean Triples","datePublished":"2023-07-25T07:57:42+00:00","dateModified":"2025-05-06T05:33:37+00:00","mainEntityOfPage":{"@id":"https:\/\/infinitylearn.com\/surge\/topics\/pythagorean-triples\/#webpage"},"wordCount":646,"publisher":{"@id":"https:\/\/infinitylearn.com\/surge\/#organization"},"image":{"@id":"https:\/\/infinitylearn.com\/surge\/topics\/pythagorean-triples\/#primaryimage"},"thumbnailUrl":"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/07\/Pythagorean-Triples.png","articleSection":["Maths Topics","Topics"],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/infinitylearn.com\/surge\/#\/schema\/person\/d647d4ff3a1111ff8eeccdb6b12651cb","name":"Ankit","image":{"@type":"ImageObject","@id":"https:\/\/infinitylearn.com\/surge\/#personlogo","inLanguage":"en-US","url":"https:\/\/secure.gravatar.com\/avatar\/b1068bdc2711bd9c9f8be3b229f758f6?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/b1068bdc2711bd9c9f8be3b229f758f6?s=96&d=mm&r=g","caption":"Ankit"},"url":"https:\/\/infinitylearn.com\/surge\/author\/ankit\/"}]}},"_links":{"self":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/posts\/665487"}],"collection":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/users\/53"}],"replies":[{"embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/comments?post=665487"}],"version-history":[{"count":0,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/posts\/665487\/revisions"}],"wp:attachment":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/media?parent=665487"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/categories?post=665487"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/tags?post=665487"},{"taxonomy":"table_tags","embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/table_tags?post=665487"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}