Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 10 - Analytic Geometry - 10.6 Polar Equations of Conics - 10.6 Assess Your Understanding - Page 685: 47


$27.81$ square units

Work Step by Step

By Heron's formula, the area $K$ is given as $K=\sqrt{s(s-a)(s-b)(s-c)}$, where $s=\frac{a+b+c}{2}$ Hence here $s=\frac{7+8+10}{2}=12.5$, $K=\sqrt{12.5(12.5-7)(12.5-8)(12.5-10)}\\$ $K\approx27.81$ square units
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