Minimario's diagonal

Geometry Level 2

Let \(ABCD\) be a square with side length \(2\) and let \(X\) be a point outside the square such that \( XA=XB=\sqrt 2\). The length of the longest diagonal in pentagon \(AXBCD\) can be expressed as \( \sqrt{x} \). What is the value of \( x \)?

This problem is posed by Minimario M.

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