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 Problem 68. Triangle, Incircle, Inradius, Tangent. Level: High School, SAT Prep, College

In the figure below, r is the inradius of a triangle ABC, d is the  radius of circles D and E tangent to the angles A and C respectively, and m = AF + CG. Prove that: \(r = \dfrac{b \cdot d}{m}\).
 

Proposed Geometry Problem 68: Triangle, incircle, inradius
 

 

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