Solution:
Hence, the circumcenter of triangle is origin. Also, centroid (z1 + z2 + z3)/3 = 0, which coincides with the circumcenter. So the triangle is equilateral. Since radius is 1, length of side is . Therefore, the area of the triangle is .
If z1=z2=z3=1 and z1+z2+z3=0, then the area of the triangle whose vertices are z1, z2, z3 is
If and , then the area of the triangle whose vertices are z1, z2, z3 is
