{"id":1313,"date":"2019-10-29T13:32:20","date_gmt":"2019-10-29T17:32:20","guid":{"rendered":"http:\/\/josmfs.net\/?p=1313"},"modified":"2024-04-10T13:43:09","modified_gmt":"2024-04-10T17:43:09","slug":"tipsy-3-4-5-triangle","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2019\/10\/29\/tipsy-3-4-5-triangle\/","title":{"rendered":"Tipsy 3-4-5 Triangle"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-full wp-image-1311\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2019\/10\/Tipsy-3-4-5-Triangle-Fig.jpg\" alt=\"\" width=\"204\" height=\"233\" \/>Presh Talwalkar had another interesting <a href=\"https:\/\/mindyourdecisions.com\/blog\/2019\/08\/15\/what-is-the-squares-side-length\/\">problem<\/a>.<\/p>\n<p>\u201cA triangle is drawn inside a square with sides 4, 3, and 5, as shown. What is the length of the square\u2019s side?\u201d<\/p>\n<p>The problem looks simple at first, but it takes some care to avoid some hideous quartic equations.<\/p>\n<p><a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2024\/04\/Tipsy-3-4-5-Triangle-Answer.jpg\">Answer<\/a>.<\/p>\n<p>See <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2019\/10\/Tipsy-3-4-5-Triangle-190826.pdf\">Tipsy 3-4-5 Triangle<\/a> for solutions.<\/p>\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Presh Talwalkar had another interesting problem. \u201cA triangle is drawn inside a square with sides 4, 3, and 5, as shown. What is the length of the square\u2019s side?\u201d The problem looks simple at first, but it takes some care to avoid some hideous quartic equations. Answer. See Tipsy 3-4-5 Triangle for solutions.<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[40,17],"class_list":["post-1313","post","type-post","status-publish","format-standard","hentry","category-puzzles-and-problems","tag-analytic-geometry","tag-presh-talwalkar"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/1313","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/comments?post=1313"}],"version-history":[{"count":2,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/1313\/revisions"}],"predecessor-version":[{"id":3796,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/1313\/revisions\/3796"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=1313"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=1313"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=1313"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}