Answer
The triangle is a right triangle.
Work Step by Step
We use the equation for slope:
$m = \frac{y_2-y_1}{x_2-x_1}$
We use the equation for slope:
$m_1 = \frac{-3-5}{-2-4}=\frac{4}{3}$
$m_2 = \frac{-3-1}{-2-(-4)}=\frac{-4}{2}=-2$
$m_1 = \frac{5-1}{4-(-4)}=\frac{1}{2}$
Slopes two and three are opposite reciprocals. Thus, the lines are perpendicular, and it is a right triangle
