Prove that if ABCD is the given rectangle, AE is the diameter of a semicircle, and BFGH is a square, then the square is equal in area to the rectangle. G F В A bE H b D C

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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Prove that if ABCD is the given rectangle, AE is the
diameter of a semicircle, and BFGH is a square, then
the square is equal in area to the rectangle.
G
F
В
A
bE H
b
D
C
Transcribed Image Text:Prove that if ABCD is the given rectangle, AE is the diameter of a semicircle, and BFGH is a square, then the square is equal in area to the rectangle. G F В A bE H b D C
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