Geometry Problems, Online Education

Problem 99. Circle Area, General Extension to Pythagoras' Theorem. High School, College

In the diagram below, given a right triangle ABC and semicircles of diameters AB, BC, AC, AO, OD, and CD respectively. If OD is the perpendicular bisector of AC and S, S1, S2, and S3 are the shaded areas, prove that: S = S1 + S2 + S3.
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Circle Area problem. Elearning 99

 


FACTS AND HINTS:


1. See: : The General Extension to Pythagoras' Theorem.

Pythagoras_extension


 

 

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