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: 38


$Area=108\sqrt {10}\approx341.53$

Work Step by Step

$s=\frac{a+b+c}{2}=\frac{33+36+21}{2}=\frac{90}{2}=45$ $Area=\sqrt {s(s-a)(s-b)(s-c)}=\sqrt {45(45-33)(45-36)(45-21)}=\sqrt {45(12)(9)(24)}=\sqrt {116640}=108\sqrt {10}\approx341.53$
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