Square Inscribed Triangle

Geometry Level 4

The area of Square DEFG\Box DEFG is abca\sqrt{b}-c, which is inscribed into an equilateral ABC\triangle ABC.

With a,b,ca,b,c are all integers and bb square free. And The area of the equilateral triangle ABC\triangle ABC is 11.

Evaluate cab\dfrac{c-a}{b} to three decimal places.

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