SOLUTION: Is triangle ABC with vertices A (-1, 4), B (3, 1), and C (0,-3) a right triangle? Explain your answer.

Algebra ->  Length-and-distance -> SOLUTION: Is triangle ABC with vertices A (-1, 4), B (3, 1), and C (0,-3) a right triangle? Explain your answer.       Log On


   

Question 812015: Is triangle ABC with vertices A (-1, 4), B (3, 1), and C (0,-3) a right triangle? Explain your answer.
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
y=mx+b
slopes
4-1
-1-3
m=-3/4 slope
3,1
0,-3
1--3=4
3-0=3
m=4/3 slope
-3/4*4/3=-1 product of the slopes=-1 so they are perpendicular
sides AB and BC are perpendicular and form a right angle. So, yes it is a right triangle