A geometry problem by Bryan MW

Geometry Level pending

In the figure above, trapezoid \(ABCD\) has parallel lines \(AB\) and \(CD\) in the ratio \(6\) :\(14\) (their lengths). Given \(\angle\)\(AEC\) = \(90^{\circ}\), \(DE\) = \(DB\), calculate \(AE\)\(^{2}\) .

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