# Square Inscribed Triangle

Geometry Level 4

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

With $$a,b,c$$ are all integers and $$b$$ square free. And The area of the equilateral triangle $$\triangle ABC$$ is $$1$$.

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

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