Determine whether ΔGHI is a right triangle. G(-2, 1), H(3, -1), I(-4, -4). Can you please show the steps too?

Question

Thank you!

Answer 1

one way is to check the lengths of the sides. Call the longest c, and the others a and b. If

c^2 = a^2+b^2

then you have a right triangle.

For example, GH^2 = (3+2)^2 + (-1-1)^2 = 29

Now fin the other side lengths

Another way is to find the slopes of the sides. If two of the sides are perpendicular, then you must have a right triangle.