College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 2 - Section 2.1 - The Distance and Midpoint Formulas - 2.1 Assess Your Understanding - Page 156: 63


$127.3\ \mathrm{ ft}$

Work Step by Step

The diagonal of the square is the hypotenuse of a right triangle whose legs are sides of the square. Apply the Pythagorean theorem. $\begin{aligned}90^{2}+90^{2}&=d^{2}\\2\cdot 90^{2}&=d^{2}\\\\d&=\sqrt{2\cdot 90^{2}}\\d&=90\sqrt{2}\\d&\approx 127.3\ \mathrm{ft}\end{aligned}$
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