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 Problem 31. Right Triangle, Incenter. Level: High School, SAT Prep, College geometry

In triangle ABC, angle B is a right angle, E is the incenter, r is the inradius, EF is perpendicular to AE, FG is perpendicular to BC, ED is perpendicular to CE, and DH is perpendicular to AB. Prove that H, E, and G are collinear.

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Last updated: July 1, 2007