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In triangle ABC, angle B is a right angle and BD is the altitude. Let r, r_{1}, and r_{2} be the inradii of triangles ABC, ADB, and BDC respectively. Prove that r + r_{1} + r_{2} = BD.

Home | Search | Geometry | Problems | All Problems | Open Problems | Visual Index | 10 Problems | Problems Art Gallery | Art | 21-30 | Circles | Right Triangle | Incircle | Circle Tangent Line | Right triangle, Altitude and Incircle | by Antonio Gutierrez Last updated: Sep 19, 2014 Post or view a solution to the problem 23