SOLUTION: the points A(1,5),B(4,-1),C(-2,-4) forms a triangle ABC.Prove that the triangle is right angled and find the area.....plezz help me..........

Question 632305: the points A(1,5),B(4,-1),C(-2,-4) forms a triangle ABC.Prove that the triangle is right angled and find the area.....plezz help me..........

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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