# SOLUTION: Please solve. Triangle ABC has vertices at the points A (-2,3), B (7,4), and C (5,22). What kind of triangle is ABC? Explain your answer.

Algebra ->  Triangles -> SOLUTION: Please solve. Triangle ABC has vertices at the points A (-2,3), B (7,4), and C (5,22). What kind of triangle is ABC? Explain your answer.      Log On

 Question 527594: Please solve. Triangle ABC has vertices at the points A (-2,3), B (7,4), and C (5,22). What kind of triangle is ABC? Explain your answer. Answer by Edwin McCravy(13211)   (Show Source): You can put this solution on YOUR website! A (-2,3), B (7,4), and C (5,22) ```Let's draw the triangle to see what it looks like: It looks as though angle B could be a right angle which would make triangle ABC a right triangle. To find out, we find the slopes of AB and CB to see if they are opposite-signed reciprocals To find the slope of AB m = = = = = = = -9 Since the slopes and -9 are opposite-sign reciprocals of each other, that is, their product is -1, the lines AB and CB are perpendicular, and that means that triangle ABC is a right triangle. Edwin```