Answer
$189\ km^2$
Work Step by Step
Use the Heron's formula, we have $s=\frac{1}{2}(a+b+c)=\frac{1}{2}(19.5+21.0+22.5)=31.5$ and $A=\sqrt {s(s-a)(s-b)(s-c)}=\sqrt {(31.5)(31.5-19.5)(31.5-21.0)(31.5-22.5)}\approx189\ km^2$
Precalculus (6th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
013421742X
ISBN 13:
978-0-13421-742-0
Chapter 8 - Application of Trigonometry - Quiz - Page 772: 5
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