# Length of a line

Geometry Level 3

In the figure above $$ABCD$$ is a square and $$AFB$$ is a right $$\triangle$$. What is the length of $$FE$$ ? If your answer is of the form $$x\sqrt{y}$$ where $$x$$ and $$y$$ are coprime positive integers, give your answer as $$x+y$$.

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