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Online Math: Geometry Problem 1186: Right Triangle, Square, Inscribed Circle, Tangent, Quadrilateral, Area. Level: School. College. Tiled background image: Twelve Angle Stone in Cuzco.

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The figure below shows a right triangle ABC and the square ABDE with the inscribed circle O. EB and AC extended meet at P. The tangent PT to circle O cuts BC and AB at G and H, respectively. Prove that the area of triangle HBG is equal to the area of quadrilateral HGCA.

  

Geometry Problem 1186: Right Triangle, Square, Inscribed Circle, Tangent, Quadrilateral, Area

 
 

 

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Last updated: Feb 5, 2016