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 - 8.4 Area of a Triangle - 8.4 Assess Your Understanding - Page 544: 14


$5.56.$ square units

Work Step by Step

By Heron's theorem $K=\sqrt{s(s-a)(s-b)(s-c)}$, where $s=\frac{a+b+c}{2}.$ Hence , $s=\frac{4+4+3}{2}=5.5$ Thus, $K=\sqrt{5.5(5.5-4)(5.5-4)(5.5-3)}\approx5.56.$
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