If the points A(1,1), B(-1,-1) and `C(-sqrt(3),sqrt(3))` are the vertices of a triangle is

If the points A(1,1), B(-1,-1), C=(-sqrt(3), sqrt(3)) are the vertices of a triangle, then the triangle is

Prove that the points A(1, 1) , B(-1, -1) and C(sqrt(3), -sqrt(3)) are the vertices of an equilateral triangle.

Show that the points A(1, 1), B(-1, -1) and C(-sqrt3, sqrt3) are the vertices of an equilateral triangle each of whose sides is 2sqrt2 units.

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

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.