[" Show that the points "(a,a),(-a,-a)" and "(-sqrt(3)a,sqrt(3)a)" are the artions "],[" of an equilateral triangle.Find its area."]

Show that the points (a,a),(-a,-a) and (-sqrt(3)a,sqrt(3)a) are the vertices of an equilateral triangle.Also,find its area.

Show that the points (a , a),(-a ,-a) and (-sqrt(3)a ,sqrt(3)a) are the vertices of an equilateral triangle. Also, find its area.

Show that the point A(a,a), B(-a,-a) and C (-sqrt(3)a, sqrt(3) a) are the vertices of an equilateral triangle.

Show that the points (2,2) , (-2,-2) and (-2sqrt(3),2sqrt(3)) are the vertices of an equilateral triangle .

Show that the points (-3, -3), (3, 3) and (-3sqrt(3), 3sqrt(3)) are the vertices of an equilateral triangle.

Show that the points (1,1),(-1,-1) and ( -sqrt3,sqrt3 ) are the vertices of an equilateral triangle.

Show that the points (a,a),(−a,−a) and (− 3a​, 3a ) are the vertices of an equilateral triangle. Also, find its area.

Show that the points O(0, 0), A(3, sqrt(3)) "and "B(3, -sqrt(3)) are the vertices of an equilateral triangle. Find the area of this triangle.

Prove that the points (0,0) (3, sqrt(3)) and (3, -sqrt(3)) are the vertices of an equilateral triangle.