Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 6 - Section 6.1 - The Law of Sines - Exercise Set - Page 721: 46


The area of the triangle is $10\text{ sq}\text{.units}$.

Work Step by Step

Considering the given points, $\left( -2,-3 \right),\left( -2,2 \right),\left( 2,1 \right)$ we will sketch the graph. By observing the graph we see that the base of the triangle is $2-\left( -3 \right)=5\text{ unit}$ and the height is $2-\left( -2 \right)=4\text{ unit}$. Therefore, area of the triangle is $\begin{align} & A=\frac{1}{2}bh \\ & =\frac{1}{2}\left( 5 \right)\left( 4 \right) \\ & =10 \end{align}$ Hence, area of the triangle is $10\text{ sq}\text{.units}$.
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