Do you know how use pythagoras?

Geometry Level 5

\(\triangle ABC\) has \(\angle BAC=90°\), \(D\) and \(E\) are points in \(AC\) and \(BC\), respectively, such that \(AE\) and \(BC\) are perpendiculars and \(BD=DC=EC=1\). Find \(AC\) longitude.

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