SOLUTION: triangle ABC has vertices A(–2, 3), B(2, 0), and C(–1, –4). Is triangleABC a right triangle? triangleABC is a right triangle because a. triangleABC is a right t

Algebra ->  Triangles -> SOLUTION: triangle ABC has vertices A(–2, 3), B(2, 0), and C(–1, –4). Is triangleABC a right triangle? triangleABC is a right triangle because a. triangleABC is a right t      Log On


   

Question 590383: triangle ABC has vertices A(–2, 3), B(2, 0), and C(–1, –4). Is triangleABC a right triangle?
triangleABC is a right triangle because a.
triangleABC is a right triangle because a.
triangleABC is a right triangle because s.
triangleABC is not a right triangle.
Answer by solver91311(24713) About Me  (Show Source):
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Use the slope formula to calculate the slopes of the three lines that contain the three line segments AB, AC, and BC that form the sides of the triangle. If any pair of slopes are negative reciprocals of each other, then those two segments are perpendicular, meaning that the angle between them is a right angle and yea verily the triangle is a right triangle. On the other hand, if no pair of slopes are negative reciprocals, then the triangle is not a right triangle.

The slope formula is:



where and are the coordinates of the given points.

John

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