# Melodramatic triangle

**Geometry**Level 3

Given the roots of the cubic equation \((z-ab)^3 = a^3 \) for \(a\ne 0 \) represents the vertex of a triangle.

Find the length of one of the sides of the triangle if \(a = \sqrt 3\).

Given the roots of the cubic equation \((z-ab)^3 = a^3 \) for \(a\ne 0 \) represents the vertex of a triangle.

Find the length of one of the sides of the triangle if \(a = \sqrt 3\).

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