Geometry Problems, Online Education

 Problem 144. Four Triangles, Incircle, Tangent and Parallel to Side, Inradii.

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 inradii of triangles ABC, AHM, BDE, and CFG respectively, prove that r = r1 + r2 + r3. View or post a solution.
 

Elearning 144: Triangle, Inradii


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