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 14: 76

Answer

(c). $\sqrt (21)$

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 - $b^{2} =c^{2} - a^{2}$ $b^{2} = (5)^{2} - (2)^{2}$ $b^{2} = 25 - 4$ $b^{2} = 21$ therefore $ b = \sqrt (21)$ Hence option c is correct
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