This website contains problems from math contests. Problems and corresponding tags were obtained from the Art of Problem Solving website.

Tags were heavily modified to better represent problems.

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Found problems: 1

2006 Alexandru Myller, 3
Tags: geometry , synthetic , newton s theorem (geometry)
The median $ AM $ of $ ABC $ meets the incircle of $ ABC $ at $ K,L. $ The lines thru $ K $ and $ L, $ both parallel to $ BC $ meets the incircle of $ ABC $ at $ XY. $ The intersections of $ AX $ and $ AY $ with $ BC $ are $ P,Q, $ respectively. Prove that $ BP=CQ. $