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concurrency, lines passing through midpoint of altitudes // OA_i

Source: 2010 Oral Moscow Geometry Olympiad grades 10-11 p6

May 8, 2020
geometryconcurrencyconcurrentCircumcenterparallel

Problem Statement

In a triangle ABC,OABC, O is the center of the circumscribed circle. Line aa passes through the midpoint of the altitude of the triangle from the vertex AA and is parallel to OAOA. Similarly, the straight lines bb and cc are defined. Prove that these three lines intersect at one point.
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