Answer
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 $10\text{ sq}\text{.units}$.
