{"id":513,"date":"2019-01-18T13:51:00","date_gmt":"2019-01-18T18:51:00","guid":{"rendered":"http:\/\/josmfs.net\/?p=513"},"modified":"2019-03-27T23:32:02","modified_gmt":"2019-03-28T03:32:02","slug":"four-of-a-kind","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2019\/01\/18\/four-of-a-kind\/","title":{"rendered":"Four of a Kind"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-full wp-image-511\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2019\/01\/Four-of-a-Kind-Probl-Stmt.jpg\" alt=\"\" width=\"200\" height=\"216\" \/>From <a href=\"http:\/\/www.futilitycloset.com\/\">Futility Closet<\/a> we have another intriguing problem with what turns out to be a simple and elegant solution.<\/p>\n<p>\u201cIf squares are drawn on the sides of a triangle and external to it, then the areas of the triangles formed between the squares each equal the area of the triangle itself.\u201d<\/p>\n<p>I originally assumed that the center triangle was a right triangle as suggested by the picture. But then I realized there was a solution that did not depend on that. See <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2019\/01\/Four-of-a-Kind-180212.pdf\">Four of a Kind<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>From Futility Closet we have another intriguing problem with what turns out to be a simple and elegant solution. \u201cIf squares are drawn on the sides of a triangle and external to it, then the areas of the triangles formed between the squares each equal the area of the triangle itself.\u201d I originally assumed that [&hellip;]<\/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":[16,13],"class_list":["post-513","post","type-post","status-publish","format-standard","hentry","category-puzzles-and-problems","tag-futility-closet","tag-plane-geometry"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/513","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=513"}],"version-history":[{"count":3,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/513\/revisions"}],"predecessor-version":[{"id":816,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/513\/revisions\/816"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=513"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=513"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=513"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}