MathDB
construct point Q on ABC at least 2 of CQ, BQ, AQ bisect incircle

Source: 2014 XVII All-Ukrainian Tournament of Young Mathematicians named after M. Y. Yadrenko, Qualifying p9

May 7, 2021
incirclegeometrybisectsUkrainian TYM

Problem Statement

Construct a point QQ in triangle ABCABC such that at least two of the segments CQ,BQ,AQCQ, BQ, AQ, divide the inscribed circle in half. For which triangles is this possible?
Back to ProblemsView on AoPS