Mathematics Homework Solutions
Problem
#35858

Sides of a Triangle are all Diameters of Semicircles : Area of Shaded Region?

Triangle ABC is a right triangle in a semicircle with AC as a diameter.  Semicircles are also drawn with legs AB and BC as diameters.
If AB=12 and BC = 5, What is the sum of the shaded areas? Please see the attached diagram.

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MVC-001S.JPG  View File

Solution Summary

When the sides of a triangle are all diameters of semicircles, the area of a shaded region is found.

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