n: if a right triangle has one leg of length 1 and a hypotenuse of length 2, then the second leg is incommensurable with the first leg

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter3: Triangles
Section3.5: Inequalities In A Triangles
Problem 39E
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It is one question of Math history. So Pls help to use Aristotle’s contradiction way such as the proposed Pythagorean argument that the diagonal of a square is incommensurable with the side to prove below

Question: if a right triangle has one leg of length 1 and a hypotenuse of length 2, then the second leg is incommensurable with the first leg.

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