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

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

 


 

 

See solution below

 


Poster and Typography of Problem 23

Poster and Typography of problem 23

 

Home | SearchGeometry | Problems | All Problems | Open Problems | Visual Index | 10 Problems | Problems Art Gallery Art | 21-30 | Circles | Right TriangleIncircle | Circle Tangent Line | Right triangle, Altitude and Incircle | by Antonio Gutierrez
Last updated: Sep 19, 2014

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Geometry Problem 23 Solution(s)