Geometry Problems, Online Education

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 Area triangle formula. View or post a solution.

Eearning 142: Four Triangles, Incircle, Areas
See also: Typography of problem 142


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