Geometry Problems, Online Education

 Problem 143. Four Triangles, Incircle, Tangent and Parallel to Side, Circumradii.

In the figure below, given a triangle ABC and the incircle of center I (inscribed circle), DE, FG, and HM are tangent to the incircle I and  parallel to AC, AB, and BC respectively. If R, R1, R2, R3 are the circumradii of triangles ABC, AHM, BDE, and CFG respectively, prove that R = R1 + R2 + R3. View or post a solution.
 

Triangle incircle circumradius


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