Consider a right triangle named \(ABC\) with \(AB\) as its hypotenuse. \(D\) is a point on \(BC \) such that \( AD \) is the angle bisector of \( \angle BAC \). \(E\) is a point on \(AB\) such that \( \angle ADE = 90 ^ \circ \).

The value of \(\frac{BC \times AE}{AB \times CD}\) is?

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