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copy of existing problem

Source: II Caucasus Mathematical Olympiad

March 20, 2018
geometry

Problem Statement

In an acute traingle ABCABC with AB<BCAB< BC let BHbBH_b be its altitude, and let OO be the circumcenter. A line through HbH_b parallel to COCO meets BOBO at XX. Prove that XX and the midpoints of ABAB and ACAC are collinear.
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