# Complex Numbers

Geometry Level 5

Complex numbers $$a$$, $$b$$ and $$c$$ are the zeros of a polynomial $$P(z) = z^3+qz+r$$, and $$|a|^2+|b|^2+|c|^2=250$$. The points corresponding to $$a$$, $$b$$, and $$c$$ in the complex plane are the vertices of a right triangle with hypotenuse $$h$$. Find $$h^2$$.

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