Online Geometry Problems

Online Geometry Problem 784: Triangle, Orthocenter, Altitude, Midpoint of a side, Perpendicular. Level: High School, College, Mathematics Education

The figure below shows a triangle ABC with the orthocenter H. M is the midpoint of BC and EF is perpendicular to MH at H (E on AB, F on AC extended). Prove that H is the midpoint of EF.

Triangle, Orthocenter, Midpoint, Perpendicular

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