Basic College Mathematics (9th Edition)

Published by Pearson
ISBN 10: 0321825535
ISBN 13: 978-0-32182-553-7

Chapter 8 - Geometry - 8.8 Pythagorean Theorem - 8.8 Exercises: 35

Answer

The unknown length of the triangle $\approx 17.1$ km

Work Step by Step

Let $x =$ unknown length of the triangle $a^{2} + b^{2} = c^{2}$ $x^{2} + 13.2^{2} = 21.6^{2}$ $x^{2} + 174.24 = 466.56$ $x^{2} = 292.32$ $x = \sqrt 292.32$ $x = 17.097...$ $x \approx 17.1$ km
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