Which Triangle?

Geometry Level 4

If \(\theta \) is real and \({ z }_{ 1 }\), \({ z }_{ 2 }\) are connected by \({ z }_{ 1 }^{ 2 }+{ z }_{ 2 }^{ 2 }+2{ z }_{ 1 }{ z }_{ 2 }\cos { \theta } =0\), then triangle with vertices \(0\), \({ z }_{ 1 }\) and \({ z }_{ 2 }\quad \) is

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