Prove that the points `(2a, 4a), (2a, 6a) and (2a+ sqrt(3) a, 5a)` are the vertices of an equilateral triangle.

Prove that the points A(2, 4), B(2, 6) and C(2 + sqrt(3) , 5) are the vertices of an equilateral triangle.

Prove that the points (2a,4a),(2a,6a) and (2a+sqrt(3)a,5a) are the vertices of an equilaterall triangle whose side is 2a

Prove that the points (a, a), (-a, -a) and (-asqrt(3), asqrt(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 (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 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.

Show that the points A(1,2),B(1,6), C(1 + 2sqrt(3),4) are the vertices of an equilateral triangle .

Prove that the points (0, 0), (3, (pi)/(2)) and (3, (pi)/(6)) 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.