Geometry Problems, Online Education

Problem 1097: Quadrilateral, Inscribed Circle, 90 Degree, Angle, Area. Level: High School, SAT Prep, College Geometry

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The figure below shows a quadrilateral ABCD and the inscribed circle O (radius r) so that angle B = angle D = 90 degree. Prove that area ABCD = r(AB + BC). Problem submitted by Maurice Ho.
 

Geometry Problem 1097 Quadrilateral, Inscribed Circle, 90 Degree, Angle, Area
 

 

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Last updated: Mar 13, 2015