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Geometry Problem 37 with Solution: Right triangle, Altitude, Incenters, Orthocenter.

In triangle ABC, angle B is a right angle. BD is the altitude, E, F, and G are the incenters of the triangles ABC, ADB, and BDC respectively. Prove that E is the orthocenter of triangle BFG. .

Flyer of problem 37 using iPad Apps

Geometry Problem 37 Illustration with iPad

Geometry Problem 37 with Solution: Right triangle, Altitude, Incenters, Orthocenter