{"id":3193,"date":"2023-06-03T11:17:23","date_gmt":"2023-06-03T15:17:23","guid":{"rendered":"https:\/\/josmfs.net\/?p=3193"},"modified":"2023-06-03T11:17:23","modified_gmt":"2023-06-03T15:17:23","slug":"right-angles-in-a-square","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2023\/06\/03\/right-angles-in-a-square\/","title":{"rendered":"Right Angles in a Square"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft  wp-image-3191\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2023\/06\/Right-Angles-in-Square-Fig2.jpg\" alt=\"\" width=\"200\" height=\"205\" srcset=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2023\/06\/Right-Angles-in-Square-Fig2.jpg 450w, https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2023\/06\/Right-Angles-in-Square-Fig2-292x300.jpg 292w\" sizes=\"auto, (max-width: 200px) 100vw, 200px\" \/>Here is another problem from the \u201cChallenges\u201d section of the <em>Quantum<\/em> magazine.<\/p>\n<p>\u201cPoint L divides the diagonal AC of a square ABCD in the ratio 3:1, K is the midpoint of side AB. Prove that angle KLD is a right angle.\u00a0 (Y. Bogaturov)\u201d<\/p>\n<p>See <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2023\/06\/Right-Angles-in-Square-200409.pdf\">Right Angles in a Square<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Here is another problem from the \u201cChallenges\u201d section of the Quantum magazine. \u201cPoint L divides the diagonal AC of a square ABCD in the ratio 3:1, K is the midpoint of side AB. Prove that angle KLD is a right angle.\u00a0 (Y. Bogaturov)\u201d See Right Angles in a Square<\/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":[40,13,194],"class_list":["post-3193","post","type-post","status-publish","format-standard","hentry","category-puzzles-and-problems","tag-analytic-geometry","tag-plane-geometry","tag-quantum-magazine"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/3193","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=3193"}],"version-history":[{"count":1,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/3193\/revisions"}],"predecessor-version":[{"id":3194,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/3193\/revisions\/3194"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=3193"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=3193"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=3193"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}