{"id":4601,"date":"2025-10-11T12:31:51","date_gmt":"2025-10-11T16:31:51","guid":{"rendered":"https:\/\/josmfs.net\/?p=4601"},"modified":"2025-10-12T08:16:43","modified_gmt":"2025-10-12T12:16:43","slug":"triangle-bow-tie-problem","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2025\/10\/11\/triangle-bow-tie-problem\/","title":{"rendered":"Triangle Bow-tie Problem"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft  wp-image-4598\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2025\/10\/Triangle-Bow-tie-Fig2.jpg\" alt=\"\" width=\"198\" height=\"205\" srcset=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2025\/10\/Triangle-Bow-tie-Fig2.jpg 442w, https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2025\/10\/Triangle-Bow-tie-Fig2-290x300.jpg 290w\" sizes=\"auto, (max-width: 198px) 100vw, 198px\" \/>This is another problem from Dan Griller.<\/p>\n<p>\u201cIn the triangle ABC, CN and MB are straight lines, \u00d0CAB = 90\u00b0 and CM = MA = AN = NB = 5. Find the exact area of the shaded region.\u201d<\/p>\n<p><a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2025\/10\/Triangle-Bow-tie-Answer.jpg\">Answer<\/a>.<\/p>\n<p>See the <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2025\/10\/Triangle-Bow-tie-Problem-230718.pdf\">Triangle Bow-tie Problem<\/a> for a solution.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>This is another problem from Dan Griller. \u201cIn the triangle ABC, CN and MB are straight lines, \u00d0CAB = 90\u00b0 and CM = MA = AN = NB = 5. Find the exact area of the shaded region.\u201d Answer. See the Triangle Bow-tie Problem for a solution.<\/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":[40,255,13],"class_list":["post-4601","post","type-post","status-publish","format-standard","hentry","category-puzzles-and-problems","tag-analytic-geometry","tag-dan-griller","tag-plane-geometry"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/4601","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=4601"}],"version-history":[{"count":3,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/4601\/revisions"}],"predecessor-version":[{"id":4605,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/4601\/revisions\/4605"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=4601"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=4601"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=4601"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}