The sum of the length of the sides of a right-triangle is greater than the length of its hypotenuse.

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 by contradiction: 

The sum of the length of the sides of a right-triangle is greater than the length of its hypotenuse.

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