A simple triangular Problem.

Geometry Level 3

Let z1,z2,z3z_1,z_2,z_3 be the coordinates of the vertices of ΔABC\Delta ABC. If z1=z2=z3|z_1|=|z_2|=|z_3| and z1+z2+z3=0z_1+z_2+z_3=0, then the triangle ABCABC is :

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