Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 10 - Section 10.6 - Radical Equations and Problem Solving - Exercise Set - Page 729: 54


The length of the unknown side is $\sqrt{33}$.

Work Step by Step

In the formula $a^2 + b^2 = c^2$, $c$ is the hypotenuse. Here, $a = 4$ and $c = 7$. We solve for b. Then $a^2 + b^2 = c^2$ becomes $4^2 +b^2 =7^2$ $16+b^2=49$ $b^2 = 33$ $b = \sqrt{33}$ Cannot be simplified further
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