Home Geometry Problems All Problems 331-340 View or post a solution 
Problem 339. Triangle, Angle Bisectors, Perpendiculars, Interior Point, Distances. Level: High School, College, SAT Prep.

The figure shows a triangle ABC with the angle bisectors AD and CE. F is a point on DE and FG, FH, and FM are perpendiculars to AB, BC and AC, respectively. Prove that FG + FH = FM.

Triangle, angle bisectors, distance


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