Precalculus (10th Edition)

Published by Pearson

Chapter 8 - Applications of Trigonometric Functions - 8.4 Area of a Triangle - 8.4 Assess Your Understanding - Page 544: 21

Answer

$30$ 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, $s=\frac{12+13+5}{2}=15$ Thus, $K=\sqrt{15(15-12)(15-13)(15-5)}=30.$

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