Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 6 - Section 6.6 - The Law of Cosines - 6.6 Exercises - Page 521: 29

Answer

54

Work Step by Step

In order to use Heron's Formula we have to find the semiperimeter: $s=\frac{1}{2}(a+b+c)$ $s=\frac{1}{2}(9+12+15)$ $s=\frac{1}{2}*36$ $s=18$ We can use Heron's Formula from here: $A=\sqrt{s(s-a)(s-b)(s-c)}$ $A=\sqrt{18(18-9)(18-12)(18-15)}$ $A=\sqrt{18*9*6*3}$ $A=\sqrt{2916}$ $A=54$
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