{"id":1970,"date":"2021-07-23T18:38:37","date_gmt":"2021-07-23T18:38:37","guid":{"rendered":"http:\/\/mathfun4kids.com\/mlog\/?p=1970"},"modified":"2021-08-10T02:17:02","modified_gmt":"2021-08-10T02:17:02","slug":"geometry-challenge-3-%e2%ad%90%e2%ad%90%e2%ad%90","status":"publish","type":"post","link":"https:\/\/mathfun4kids.com\/mlog\/?p=1970","title":{"rendered":"Geometry Challenge &#8211; 3 \u2b50\u2b50\u2b50"},"content":{"rendered":"\n<p>A fixed point $Q$ lies on the bisector of $\\angle{P}$. A moving point $A$ lies on one side of $\\angle{P}$, with line $AQ$ intersecting the other side of $\\angle{P}$ at point $B$. Show that $\\dfrac{1}{PA}+\\dfrac{1}{PB}$ is a constant. <\/p>\n","protected":false},"excerpt":{"rendered":"<p>A fixed point $Q$ lies on the bisector of $\\angle{P}$. A moving point $A$ lies on one side of $\\angle{P}$, with line $AQ$ intersecting the other side of $\\angle{P}$ at point $B$. Show that $\\dfrac{1}{PA}+\\dfrac{1}{PB}$ is a constant.<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false},"categories":[9],"tags":[],"_links":{"self":[{"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=\/wp\/v2\/posts\/1970"}],"collection":[{"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1970"}],"version-history":[{"count":4,"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=\/wp\/v2\/posts\/1970\/revisions"}],"predecessor-version":[{"id":2184,"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=\/wp\/v2\/posts\/1970\/revisions\/2184"}],"wp:attachment":[{"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1970"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1970"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1970"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}