Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 7 - Section 7.6 - Radical Equations and Problem Solving - Exercise Set - Page 453: 54

Answer

$\sqrt{33} \text{ } cm.$

Work Step by Step

Using $a^2+b^2=c^2$ (or the Pythagorean Theorem) where a leg is given the measure $4$ centimeters and the hypotenuse is given the measure $7$ centimeters, then the other leg, $b$, is equal to \begin{array}{l}\require{cancel} 4^2+b^2=7^2 \\\\ b^2=7^2-4^2 \\\\ b^2=49-16 \\\\ b^2=33 \\\\ b=\sqrt{33} .\end{array} Hence, the unknown side is $ \sqrt{33} \text{ } cm. $
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