Geometry Problems, Online Education

 Problem 116. Area of Triangles, Excircles. Level: High School, SAT Prep, College

In the figure below, given a triangle ABC, construct the excircles with excenters P and Q. Let be D and E the tangent points of triangle ABC with its excircles. PE and DQ meet at F, BE and DQ meet at H, PE and BD meet at G. If S1, S2, S3, and S4 are the areas of the triangles BPG, EFH, DFG, and BHQ respectively, prove that S1 + S2 = S3 + S4. View or post a solution.

Elearning 116: Areas




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