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Geometry Problem 1208: Triangle, Circle, Excircle, Excenter, Diameter, Perpendicular, 90 Degrees, Equal Areas. Online High School, College.

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The figure shows a triangle ABC with the excircle E corresponding to BC and diameter DF perpendicular to BC. AF cuts BC at G. Prove that the areas of triangles BGF and CDF are equal.
  

Geometry Problem 1208: Triangle, Circle, Excenter, Diameter, Perpendicular, 90 Degrees, Equal Areas.

See also:
Triangles
Circle
Excenter
Areas
Area of a Triangle
90 degrees

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Last updated: Apr 16, 2016