Geometry Problem: Machu Picchu Inca Trail

 Problem 24: Right triangle, Altitude, Incircles. Level: High School, SAT Prep, College geometry

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 . Solution / comment.
  

Geometry problem: Right triangle, altitude 

 

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