Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 8 - Applications of Trigonometric Functions - 8.4 Area of a Triangle - 8.4 Assess Your Understanding - Page 546: 57

Answer

Use the formula $K=\frac{ab\cdot \sin{(C)}}{2}$ (where $K$ is the area of the triangle).

Work Step by Step

We know that $K=\frac{ab\cdot \sin{(C)}}{2}$, where $C$ is the included angle of $a$ and $b$ and $K$ is the area of the triangle. Hence, to find the area of a triangle where the lengths of two sides and the included angle are given, I simply use the formula above.
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