Go Geometry Problems

Problem 592: Triangle, Incenter, Incircle, Tangency Point, Midpoints, Concurrent Lines, Congruence. Level: Mathematics Education, High School, College

The figure shows a triangle ABC with the incircle O tangent to AC at D. Points M, G, and H are the midpoints of AC, AB, and BC, respectively. Prove that lines GH, BD, and MO extended are concurrent at the same point E.

Triangle, Incircle, Incenter, Inradius, Midpoint, Altitude

See also: Sketch of problem 592

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