Answer:
Yes, two sides are perpendicular and the side lengths fit the Pythagoras theorem.
Step-by-step explanation:
Given the triangle whose coordinates are A(0,2), B(-2, -1) and C(1, -3)
we have to find the given triangle is right angled triangle or not.
First we have to find the length of sides of triangle ABC


Therefore, length of AB, BC, and AC is



If given triangle is right angled triangle then the length of sides must satisfy Pythagoras theorem i.e




which is true.
Hence, Pythagoras theorem is satisfied.
Hence option C is correct.