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: 33

Answer

Unknown length of the triangle is $\approx 8.1$ cm.

Work Step by Step

Let $x =$ unknown length of the triangle $a^{2} + b^{2} = c^{2}$ $x^{2} + 8.2^{2} = 11.5^{2}$ $x^{2} + 67.24 = 132.25$ $x^{2} = 65.01$ $x = \sqrt 65.01$ $x = 8.062...$ $x \approx 8.1$ cm
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