Geometry Problems, Online Education


 Problem 117. Area of Triangles, Incenter, Excircles. Level: High School, SAT Prep, College

In the figure below, given a triangle ABC, construct the incenter I and the excircles with excenters P and Q. Let be D and E the tangent points of triangle ABC with its excircles. IE and BC meet at H, and ID and AB meet at G. If S1, S2, S3, and S4 are the areas of the triangles AIG, BEH, BDG, and CHI respectively, prove that S1 + S2 = S3 + S4. View or post a solution.

Elearning 117: triangle area, incenter, excenters 



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