MathDB
XX' has max length iff AX lies between median and internal angle bisector

Source: Indian Postal Coaching 2008 set 3 p3

May 25, 2020
geometrymaxmedianangle bisector

Problem Statement

Let ABCABC be a triangle. For any point XX on BCBC, let AXAX meet the circumcircle of ABCABC in X′X'. Prove or disprove: XX′XX' has maximum length if and only if AXAX lies between the median and the internal angle bisector from AA.
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