Intermediate Algebra (6th Edition)

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

Chapter 6 - Section 6.2 - Adding and Subtracting Rational Expressions - Exercise Set - Page 355: 94

Answer

The unknown length is $25$ feet.

Work Step by Step

Let $c$ = length of the hypotenuse Use the Pythagorean theorem's formula $c^2=a^2+b^2$ where c= length of the hypotenuse, and a and b are the lengths of the legs of the right triangle to have: $\\c^2=24^2+7^2 \\c^2=576+49 \\c^2=625 \\c = \sqrt{625} \\c=25$
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