Online Geometry Problems

Online Geometry Problem 781: Triangle, Orthocenter, Circumcenter, Circle, Vertex, Altitude, Midpoint, Perpendicular. Level: High School, College, Mathematics Education

The figure below shows a triangle ABC with the orthocenter H and the circumcenter O. If M is the midpoint of BH and DE is perpendicular to OM at M, prove that M is the midpoint of DE.

Triangle, Circumcenter, Orthocenter, Midpoint, Perpendicular


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