Question: please solve it Let 2, w E C be such that z. w and 0 are the vertices of an equilateral triangle in the complex

please solve it

Let 2, w E C be such that z. w and 0 are the vertices of an equilateral triangle in the complex plane (recall that an equilateral triangle is a triangle such that all three side lengths are equal). Prove that |z|2 = |w|2 = 2Re(zm. Note that the distance between two complex numbers 2 and w is given by |z wl

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