Let the complex numbers z(1),z(2) and z...

Let the complex numbers `z_(1),z_(2)` and `z_(3)` be the vertices of an equailateral triangle. If `z_(0)` is the circumcentre of the triangle , then prove that ` z_(1)^(2) + z_(2)^(2) + z_(3)^(2) = 3z_(0)^(2)`.

`z_(0)^(2)`

`3 z_(0)^(2)`

`z_(0)^(3)`

`3 z_(0)^(3)`

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Let the complex numbers z(1),z(2) and z(3) be the vertices of an equ...
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