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,
$K=\sqrt{15(15-12)(15-13)(15-5)}=30.$
Precalculus (10th Edition)
by Sullivan, Michael
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: 21
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