Answer
$27.81\ unit^2$
Work Step by Step
1. Use the Law of Cosines, we have $C=cos^{-1}(\frac{7^2+8^2-10^2}{2(7)(8)})\approx83.3^\circ$
2. We have the area of the triangle $A=\frac{1}{2}(7)(8)sin83.3^\circ\approx27.81\ unit^2$
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 9 - Analytic Geometry - Section 9.6 Polar Equations of Conics - 9.6 Assess Your Understanding - Page 705: 47
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