Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 14 - Trigonometric Identities and Equations - 14-5 The Law of Cosines - Practice and Problem-Solving Exercises - Page 939: 9

Answer

$x \approx 13.7$

Work Step by Step

The Law of Cosines must be used in the form $c^{2}=a^{2}+b^{2}-2ab\cos{C}$. $c^{2}=a^{2}+b^{2}-2ab\cos{C}$ $x^{2}=12^{2}+15^{2}-2(12)(15)\cos{60°}$ $x^{2} = 189$. $x = \sqrt {189}$ $x \approx 13.7$
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