{"id":1744,"date":"2020-09-05T07:42:11","date_gmt":"2020-09-05T11:42:11","guid":{"rendered":"http:\/\/josmfs.net\/?p=1744"},"modified":"2024-04-08T12:26:36","modified_gmt":"2024-04-08T16:26:36","slug":"sum-of-squares-puzzle","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2020\/09\/05\/sum-of-squares-puzzle\/","title":{"rendered":"Sum Of Squares Puzzle"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-full wp-image-1742\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2020\/09\/Sum-of-Squares-Puzzle-Fig.jpg\" alt=\"\" width=\"250\" height=\"151\" \/>Yet another interesting problem from <a href=\"https:\/\/mindyourdecisions.com\/blog\/2019\/10\/25\/sum-of-squares-puzzle\/\">Presh Talwalkar<\/a>.<\/p>\n<p>\u201cTwo side-by-side squares are inscribed in a semicircle.\u00a0 If the semicircle has a radius of 10, can you solve for the total area of the two squares? If no, demonstrate why not. If yes, calculate the answer.\u201d<\/p>\n<p>This puzzle shares the characteristics of all good problems where the information provided seems insufficient.<\/p>\n<p><a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2024\/04\/Sum-of-Squares-Answer.jpg\">Answer<\/a>.<\/p>\n<p>See the <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2020\/09\/Sum-of-Squares-Puzzle-191026.pdf\">Sum of Squares Puzzle<\/a> for solutions.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Yet another interesting problem from Presh Talwalkar. \u201cTwo side-by-side squares are inscribed in a semicircle.\u00a0 If the semicircle has a radius of 10, can you solve for the total area of the two squares? If no, demonstrate why not. If yes, calculate the answer.\u201d This puzzle shares the characteristics of all good problems where the [&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":[40,17],"class_list":["post-1744","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\/1744","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=1744"}],"version-history":[{"count":3,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/1744\/revisions"}],"predecessor-version":[{"id":3732,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/1744\/revisions\/3732"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=1744"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=1744"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=1744"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}