Answer
See graph.
$BC^2=AB^2+AC^2$, $10\ unit^2$.
Work Step by Step
Step 1. See graph.
Step 2. $AB=\sqrt {(4-0)^2+(-3+3)^2}=4$, $BC=\sqrt {(0-4)^2+(-3-2)^2}=\sqrt {41}$, $AC=\sqrt {(4-4)^2+(-3-2)^2}=5$,
Step 3. Check $BC^2=AB^2+AC^2$, thus it is a right triangle,
Step 4. $Area=\frac{1}{2}(4)(5)=10\ unit^2$.