College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 1 - Equations and Inequalities - Exercise Set 1.5 - Page 163: 144

Answer

$a*\sqrt 2$; You can always find the length of the hypotenuse of an isosceles right triangle by multiplying the length of the leg of the triangle by $\sqrt 2$.

Work Step by Step

The $a$ value can be inputted as both the $a$ and $b$ in the Pythagorean theorem formula because the sides are the same length. Take the square root of both sides and simplify for $c$. $a^2+a^2=c^2$ $2a^2=c^2$ $\sqrt {2*a^2}=c$ $a*\sqrt 2=c$
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