Geometry Problem 142. Four Triangles, Incircle, Tangent and Parallel to Side, Areas
In the figure below, given a triangle
ABC and the incircle O (inscribed circle), DE, FG, and HM are
tangent to the incircle O and parallel to AC, AB, and BC
respectively. If S, S1, S2, S3 are the areas of triangles
ABC, AHM, BDE, and CFG respectively, prove that
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Typography of problem 142