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: 30

Answer

Unknown length of the triangle is $\approx 13.2$ cm

Work Step by Step

Let $x =$ unknown length of the triangle $a^{2} + b^{2} = c^{2}$ $9^{2} + x^{2} = 16^{2}$ $81 + x^{2} = 256$ $x^{2} = 175$ $x = \sqrt 175$ $x = 13.228...$ $x \approx 13.2$ cm
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