E. Prove that if semicircles are constructed on each of the sides of a right triangle, then the area of the semicircle on the a hypotenuse is equal to the sum of the areas of the semicircles on the two legs. b

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.CR: Review Exercises
Problem 38CR: Prove that if semicircles are constructed on each of the sides of a right triangle, then the area of...
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E. Prove that if semicircles are constructed
on each of the sides of a right triangle,
then the area of the semicircle on the
a
hypotenuse is equal to the sum of the
areas of the semicircles on the two legs.
b
Transcribed Image Text:E. Prove that if semicircles are constructed on each of the sides of a right triangle, then the area of the semicircle on the a hypotenuse is equal to the sum of the areas of the semicircles on the two legs. b
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