## Precalculus (6th Edition) Blitzer

Published by Pearson

# Chapter 6 - Section 6.1 - The Law of Sines - Exercise Set - Page 721: 45

#### Answer

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

#### Work Step by Step

Consider the given points, $\left( -3,-2 \right),\left( 2,-2 \right),\left( 1,2 \right)$ and 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, the 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, the area of the triangle is $10\text{ sq}\text{.units}$.

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