SOLUTION: Triangle ABC has vertices A(0,4), B(1,2), and C(4,6). Determine whether triangle ABC is a right triangle. Explain.

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Question 8569: Triangle ABC has vertices A(0,4), B(1,2), and C(4,6). Determine whether triangle ABC is a right triangle. Explain.
Answer by khwang(438) About Me  (Show Source):
You can put this solution on YOUR website!
A(0,4), B(1,2), and C(4,6).
mAB(slope of AB) = (2-4)/1 =-2,
mBC(slope of BC) = (6-2)/(4-1) = 4/3,
mAC(slope of AC) = (6-4)/(4-0) = 1/2,
Now, we see that mAB*MAC = -1, so AB & AC are perpendicular
and so A is a right angle & ABC is a right triangle.
Note useing slope is the simplest way to solve this kind of questions.
kenny