SOLUTION: The points A (1,5) B (4, -1) & C (-2, -4) forms triangle ABC. Prove that the triangle is right angle and find its area

Question 632394: The points A (1,5) B (4, -1) & C (-2, -4) forms triangle ABC. Prove that the triangle is right angle and find its area
Answer by reviewermath(1029) (Show Source): You can put this solution on YOUR website!
a = distance between B and C =
b = distance between A and C =
c = distance between A and B =
Therefore because .
The sides satisfy the Pythagorean Theorem, therefore triangle ABC is a right triangle with angle B as a right angle.
the area is equal to

square units
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