The coordinates of the vertices of triangle ABC are A(-1,3), B(1,2) and C(-3,-1). Determine the slope of each side of the triangle and use that information to determine if the triangle is a right triangle or not?

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Answer 1 · 2018-01-07T14:34:06

It’s a right triangle

Slope of AB #m_(AB) = ( 2 - 3) / (1 - (-1)) = -1/2#

Slope of BC #m_(BC) = (-1 -2) / (-3 -1) = 3/4#

Slope of CA #m_(CA) = (-1 -3) / (-3 + 1) = 2#

#m_(AB) * m_(CA) = -(1/2) * 2 = -1#

Hence it’s a right triangle.