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Only prove that XY = BC

Source: Cono sur Olympiad 1998 P2

October 11, 2017
geometrygeometry unsolvedcircumcircle

Problem Statement

Let HH be the orthocenter of the triangle ABCABC, MM is the midpoint of the segment BCBC. Let XX be the point of the intersection of the line HMHM with arc BCBC(without AA) of the circumcircle of ABCABC, let YY be the point of intersection of the line BHBH with the circle, show that XY=BCXY = BC.
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