Go Geometry Problem Problem 217. Right triangle, Altitude and Projections

In a right triangle ABC, BD is the altitude, DE and DF are perpendicular to BC and AB respectively, and FG and EH are perpendicular to the hypotenuse AC. Prove that GD = DH (projections of BF and BE onto AC). View or post a solution.
 

Elearn 217: Right triangle, altitude
 

 

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