Geometry Problem 25 with Solution: Right Triangle, Altitude, Incenters, Perpendicular, Congruence, Proof.

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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 BE and FG are congruent and perpendicular.

Right triangle, Altitude, Incenters

See solution below

Geometry Problem 25 with Solution: Right Triangle, Altitude, Incenters, Perpendicular, Congruence, Proof.

Geometry Problem 25 Solution(s)