# Equilateral Triangle Property

Algebra Level 3

Let be $$a$$, $$b$$ and $$c$$ three complex numbers such that $$\left| a \right| = \left| b \right| = \left| c \right|$$. The affix of these three complex numbers are the vertices of an equilateral triangle.

What is the value of $$a + b + c$$ ?

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