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: 34

Answer

$b \approx 5.66 $

Work Step by Step

We will use given data about triangle ABC and Pythagoras Theorem to solve for 'b'- We know that - $c^{2} =a^{2} + b^{2}$ ( Pythagoras Theorem) Therefore - $b^{2} =c^{2} - a^{2}$ $b^{2} = (6)^{2} - (2)^{2}$ $b^{2} = 36 - 4$ $b^{2} = 32$ therefore $ b = \sqrt (32)$ $b \approx 5.66 $
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