Precalculus (10th Edition)

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

Chapter 8 - Applications of Trigonometric Functions - Chapter Review - Review Exercises - Page 557: 24

Answer

$3.8$ square units

Work Step by Step

By Heron's formula, $K=\sqrt{s(s-a)(s-b)(s-c)}$, where $s=\frac{a+b+c}{2}.$ Hence, here we have $s=\frac{4+2+5}{2}=5.5$, Thus, $K=\sqrt{5.5(5.5-4)(5.5-2)(5.5-5)}\approx3.8$
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