Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 8 - 8.2 - Law of Cosines - 8.2 Exercises - Page 574: 40

Answer

$Area=51.59$

Work Step by Step

$s=\frac{a+b+c}{2}=\frac{12.32+8.46+15.9}{2}=18.34$ $Area=\sqrt {s(s-a)(s-b)(s-c)}=\sqrt {18.34(18.34-12.32)(18.34-8.46)(18.34-15.9)}=\sqrt {18.34(6.02)(9.88)(2.44)}=51.59$
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