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(20060)   (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
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