MathDB
TH bisects BC (VI Soros Olympiad 1990-00 R1 8.4)

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May 27, 2024
geometrybisects segment

Problem Statement

Let CHCH be the altitude of triangle ABC, OO be the center of the circle circumscribed around it. Point TT is the projection of point CC on the line TOTO. Prove that the line THTH bisects the side BCBC.