Answer
$168\ unit^2$
Work Step by Step
Given $a=14,b=30,c=40$, use the Heron's Formula, we have
$s=\frac{1}{2}(a+b+c)=42$ and the area of the triangle is given by
$A=\sqrt {s(s-a)(s-b)(s-c)}=\sqrt {42(42-14)(42-30)(42-40)}\approx168\ unit^2$
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 - Test - Page 843: 4
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