Go Geometry Problems

Online Geometry Problem 704: Triangle, Orthocenter, Altitude, Midpoint, Perpendicular. Level: High School, Honors Geometry, College, Mathematics Education

In a triangle ABC, AD and CE are altitudes and H is the orthocenter. If F is the midpoint of AC and M the midpoint of BH, prove that FM is perpendicular to DE. (See the figure.)

Orthocenter, tirnagle, altitude, midpoint, perpendicular

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