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: 41


$Area=\frac{\sqrt {231}}{64}=0.237$

Work Step by Step

$s=\frac{a+b+c}{2}=\frac{1+\frac{1}{2}+\frac{5}{4}}{2}=\frac{\frac{11}{4}}{2}=\frac{11}{8}$ $Area=\sqrt {s(s-a)(s-b)(s-c)}=\sqrt {\frac{11}{8}(\frac{11}{8}-1)(\frac{11}{8}-\frac{1}{2})(\frac{11}{8}-\frac{5}{4})}=\sqrt {\frac{11}{8}(\frac{3}{8})(\frac{7}{8})(\frac{1}{8})}=\frac{\sqrt {231}}{64}=0.237$
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