Question 1180530: Determine if the points form a right triangle on the coordinate plane.
(1,-3), (3,2), (-2,4)
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! see if two lines are perpendicular, or have negative reciprocal slope products.
Can use point slope formula to get equation of lines-y-y1=m(x-x1), m slope, (x1, y1) point
slope of first two is 5/2 (line is y-2=(5/2)(x-3), or y=(5/2)x-5.5)
second and third, line is y-4=(-2/5)(x+2), or y=(-2/5)x + 3.2
of second and third is 2/-5.
of third and first is 7/-3
yes, they will, since the product of the first two slopes is -1, and their intersection at (3, 2) is the vertex of the right angle.
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