Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Chapters 1-8 - Cumulative Test - Page 477: 19

Answer

$52$ square kilometers.

Work Step by Step

Using that we have obtained the lengths of the sides: $s=0.5(a+b+c)=0.5(10+12+11)=16.5$ Then the area of the triangle is: $\sqrt{s(s-a)(s-b)(s-c)}=\sqrt{16.5(16.5-10)(16.5-12)(16.5-11)}\approx52$ square kilometers.
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