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show that the points (-2,4) , (3,-1) , (-1,-3) are the vertices of an isosceles triangle, find its area.

Sagot :

First, solve for the length of each side using the Distance Formula.

Then, solve for the area of triangle.

The measure of each side:

Sides 1 and 3 (legs of isosceles triangle)  = [tex] 5\sqrt{2} [/tex]

Side 2 (base of the triangle) = [tex]2 \sqrt{5} [/tex]

ANSWER:  The area is 15 units².

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