is this a right triangle?
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Answer:
It's B.
Step-by-step explanation:
We need to see if AB is perpendicular to BC. If it is then the product of the slopes of BC and AB will equal -1.
A is the point (-5,5), B is (-3,2) and C is (-6, 0).
Slope of AB = (5 - 2) / (-5 - -3) = 3 / -2 = -3/2.
Slope of BC = (2-0) / (-3 - (-6) = 2 / 3.
The product of their slopes is -3/2 * 2/3 = -1.
Therefore triangle ABC is right-angled.