Question

PLEASE HELP, this is overdue and I'm struggling. In triangle EFG, E(-2, 7), F(7, -8) and G(-6, -3). Is triangle EFG a right triangle? Provide proof of your yes/no answer. ​

Answer 1

• No

Explanation:

You may find the slopes of the segments EG and FG, the shorter sides of the triangle EFG.

Perpendicular lines have negative-reciprocal slopes.

• m(EG) = (-3 - 7)/(-6 - (-2)) = -10/-4 = 5/2
• m(FG) = (-3 - (-8))/(-6 - 7) = 5/-13 = -5/13

The product of the slopes should be -1:

• 5/2*(-5/13) = - 25/26 ≠ -1

So the answer is No