Triangle abc has vertices at a(–2, 3), b(–3, –6), and c(2, –1). is triangle abc a right triangle? if so, which angle is the right angle?

OK. At the beginning, we calculate the length of the sides of the triangle.
We will use the formula for the length of the segment



AB is the longest side.
If the equation

is true, then the triangle is right triangle.
check:

Therefore your answer is:
The triangle ABC is a right triangle and angle ACB is the right angle.