Geometry Problems, Online Education

 
 Problem 213. Triangle, Incircle, Inradius, Semicircles, Common Tangents

In the figure below, the circle O of radius r is tangent to the sides of triangle ABC at D, E, and F. If d, e, and f are the common tangents to the semicircles of diameter AD, DB, BE, EC, CF, and FA, prove that: Geometry problem 213 Proof
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Triangle,Inradius, Common Tangents
 

 

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