{"id":2135,"date":"2021-05-15T08:38:11","date_gmt":"2021-05-15T12:38:11","guid":{"rendered":"https:\/\/josmfs.net\/?p=2135"},"modified":"2021-05-15T08:38:11","modified_gmt":"2021-05-15T12:38:11","slug":"center-of-square-problem","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2021\/05\/15\/center-of-square-problem\/","title":{"rendered":"Center of Square Problem"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft  wp-image-2133\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2021\/05\/Center-of-Square-Prob-Fig2.jpg\" alt=\"\" width=\"198\" height=\"164\" srcset=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2021\/05\/Center-of-Square-Prob-Fig2.jpg 400w, https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2021\/05\/Center-of-Square-Prob-Fig2-300x249.jpg 300w\" sizes=\"auto, (max-width: 198px) 100vw, 198px\" \/>This is a simple problem from <em>Five Hundred Mathematical Challenges<\/em>:<\/p>\n<p><strong>\u201cProblem 24.<\/strong>\u00a0 Let <em>P<\/em> be the center of the square constructed on the hypotenuse <em>AC<\/em> of the right-angled triangle <em>ABC<\/em>.\u00a0 Prove that <em>BP<\/em> bisects angle <em>ABC<\/em>.\u201d<\/p>\n<p>See the <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2021\/05\/Center-of-Square-Problem-210222.pdf\">Center of Square Problem<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>This is a simple problem from Five Hundred Mathematical Challenges: \u201cProblem 24.\u00a0 Let P be the center of the square constructed on the hypotenuse AC of the right-angled triangle ABC.\u00a0 Prove that BP bisects angle ABC.\u201d See the Center of Square Problem<\/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":[177,13],"class_list":["post-2135","post","type-post","status-publish","format-standard","hentry","category-puzzles-and-problems","tag-500-math-challenges","tag-plane-geometry"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/2135","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=2135"}],"version-history":[{"count":1,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/2135\/revisions"}],"predecessor-version":[{"id":2136,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/2135\/revisions\/2136"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=2135"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=2135"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=2135"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}