Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Chapter 1 - Section 1.1 - Angles, Degrees, and Special Triangles - 1.1 Problem Set - Page 11: 33

Answer

b = 15

Work Step by Step

We will use given data about triangle ABC & Pythagoras Theorem to solve for 'b'- We know that - $c^{2} =a^{2} + b^{2}$ ( Pythagoras Theorem) Therefore - $b^{2} =c^{2} - a^{2}$ $b^{2} = (17)^{2} - (8)^{2}$ $b^{2} = 289 - 64$ $b^{2} = 225$ therefore $ b = \sqrt (225)$ b = 15
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