{"id":2708,"date":"2022-05-28T07:42:32","date_gmt":"2022-05-28T11:42:32","guid":{"rendered":"https:\/\/josmfs.net\/?p=2708"},"modified":"2024-04-06T13:21:08","modified_gmt":"2024-04-06T17:21:08","slug":"sizing-up","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2022\/05\/28\/sizing-up\/","title":{"rendered":"Sizing Up"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft  wp-image-2706\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2022\/05\/Sizing-Up-Fig2.jpg\" alt=\"\" width=\"200\" height=\"177\" srcset=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2022\/05\/Sizing-Up-Fig2.jpg 404w, https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2022\/05\/Sizing-Up-Fig2-300x266.jpg 300w\" sizes=\"auto, (max-width: 200px) 100vw, 200px\" \/>This is another fairly simple puzzle from <em>Futility Closet<\/em> from a while ago (2014).<\/p>\n<p>\u201cTwo lines divide this equilateral triangle into four sections. The shaded sections have the same area. What is the measure of the obtuse angle between the lines?\u201d<\/p>\n<p><a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2024\/04\/Sizing-Up-Answer.jpg\">Answer<\/a>.<\/p>\n<p>See <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2022\/05\/Sizing-Up-200725.pdf\">Sizing Up<\/a> for solutions.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>This is another fairly simple puzzle from Futility Closet from a while ago (2014). \u201cTwo lines divide this equilateral triangle into four sections. The shaded sections have the same area. What is the measure of the obtuse angle between the lines?\u201d Answer. See Sizing Up 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":[16,13],"class_list":["post-2708","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\/2708","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=2708"}],"version-history":[{"count":2,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/2708\/revisions"}],"predecessor-version":[{"id":3617,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/2708\/revisions\/3617"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=2708"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=2708"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=2708"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}