Geometry Problem 23 with Solution: Right Triangle, Altitude, Circle, Incircles, Inradius

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In triangle ABC, angle B is a right angle and BD is the altitude. Let r, r₁, and r₂ be the inradii of triangles ABC, ADB, and BDC respectively. Prove that r + r₁ + r₂ = BD.

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Poster and Typography of Problem 23

Poster and Typography of problem 23

Geometry Problem 23 with Solution: Right Triangle, Altitude, Circle, Incircles, Inradius

Poster and Typography of Problem 23

Geometry Problem 23 Solution(s)