Question

Prove that the point A(a,a), B(-a,-a ) and C( √ 3a, √ 3a ) are the vertices of an Equilateral triangle. Calculate the area of this triangle.

Answer 1

as we know in equilateral triangle all three sides are equal hence find the all three sides

of triangle like given above by distance formula of cordinate geometry and then check if all three sides will equal then the triangle is equilateral.

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