To determine if triangle ABC is a right triangle, we can calculate the slopes of the lines formed by connecting the points:
Slope of AB = (3 - (-6))/(-2 -(-3)) = 9/1 = 9
Slope of BC = (-1 - (-6))/(2 - (-3)) = 5/5 = 1
Slope of AC = (-1 - 3)/(2 - (-2)) = -4/4 = -1
Since the product of the slopes of two sides is -1 (9 * 1 = -1), we can conclude that triangle ABC is a right triangle.
Therefore, the correct answer is:
A. Yes, the right angle is angle A.
Triangle ABC has vertices at A(–2, 3), B(–3, –6), and C(2, –1). Is triangle ABC a right triangle? If so, which angle is the right angle?
A.Yes, the right angle is angle A.
B.Yes, the right angle is angle C.
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