Problem 418: Triangle, Incircle, Inradius, Equal Tangent circles, Radius

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The figure shows a triangle ABC with inradius r and AC = b. Prove that the radius x of the equal circles of centers D and E tangent at F and tangent to the sides of triangle is: radius formula to prove. Post a comment or solution.
 

Triangle, Incircle, Tangent Circles, Congruence, radius
 

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