{"id":2435,"date":"2021-10-16T08:08:56","date_gmt":"2021-10-16T12:08:56","guid":{"rendered":"https:\/\/josmfs.net\/?p=2435"},"modified":"2024-04-07T14:18:56","modified_gmt":"2024-04-07T18:18:56","slug":"circumscribed-house-problem","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2021\/10\/16\/circumscribed-house-problem\/","title":{"rendered":"Circumscribed House Problem"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft  wp-image-2433\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2021\/10\/Circumscribed-House-Fig2.jpg\" alt=\"\" width=\"200\" height=\"224\" srcset=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2021\/10\/Circumscribed-House-Fig2.jpg 400w, https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2021\/10\/Circumscribed-House-Fig2-268x300.jpg 268w\" sizes=\"auto, (max-width: 200px) 100vw, 200px\" \/>Here is another problem from the \u201cBrainteasers\u201d section of the <em>Quantum<\/em> magazine.<\/p>\n<p>\u201cSide AE of pentagon ABCDE equals its diagonal BD. All the other sides of this pentagon are equal to 1. What is the radius of the circle passing through points A, C, and E?\u201d<\/p>\n<p><a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2024\/04\/Circumscribed-House-Answer.jpg\">Answer<\/a>.<\/p>\n<p>See the <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2021\/10\/Circumscribed-House-210923.pdf\">Circumscribed House Problem<\/a> for solutions.<\/p>\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Here is another problem from the \u201cBrainteasers\u201d section of the Quantum magazine. \u201cSide AE of pentagon ABCDE equals its diagonal BD. All the other sides of this pentagon are equal to 1. What is the radius of the circle passing through points A, C, and E?\u201d Answer. See the Circumscribed House Problem 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":[13,194],"class_list":["post-2435","post","type-post","status-publish","format-standard","hentry","category-puzzles-and-problems","tag-plane-geometry","tag-quantum-magazine"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/2435","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=2435"}],"version-history":[{"count":2,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/2435\/revisions"}],"predecessor-version":[{"id":3662,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/2435\/revisions\/3662"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=2435"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=2435"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=2435"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}