Show that the triangle with vertices 2sqrt3, -sqrt3+3i, and -sqrt3-3i is equilateral. (Without graphing it).
+600 They satisfy $z_1^2+z_2^2+z_3^2=z_1z_2+z_2z_3+z_1z_2$, so done by https://math.stackexchange.com/questions/953129/equilateral-triangle-from-three-complex-points
