An equilateral triangle is inscribed in the parabola $y^{2} = 4 a x$ where one vertex is at the vertex of the parabola. Find the length of the side of the triangle.

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An equilateral triangle is inscribed in the parabola

y^{2} = 4 a x

where one vertex is at the vertex of the parabola. Find the length of the side of the triangle.

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Question Text

An equilateral triangle is inscribed in the parabola

y^{2} = 4 a x

where one vertex is at the vertex of the parabola. Find the length of the side of the triangle.

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