Geometry Problems, Online Education

 Problem 119. Area of Triangles, Incenter, Excircle. Level: High School, SAT Prep, College

In the figure below, given a triangle ABC, construct the incircle with incenter I and the excircle with excenter E. Let be D and F the tangent points of triangle ABC with its excircle. ID and BC meet at G, and IF and BC meet at H. If S1, S2, and S3 are the areas of the triangles BDG, CFH, and IGH respectively, prove that S1 + S2 = S3. View or post a solution.

Problem 119: Area triangle
 

 

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