Basic College Mathematics (10th Edition)

Published by Pearson
ISBN 10: 0134467795
ISBN 13: 978-0-13446-779-5

Chapter 8 - Geometry - 8.8 Pythagorean Theorem - 8.8 Exercises - Page 592: 29

Answer

Unknown length of the triangle $\approx 14.0$ cm

Work Step by Step

Let $x =$ unknown length of the triangle $a^{2} + b^{2} = c^{2}$ $17^{2} + x^{2} = 22^{2}$ $289 + x^{2} = 484$ $x^{2} = 195$ $x = \sqrt 195$ $x = 13.964...$ $x \approx 14.0$ cm
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