Find the length of AE of triangle ABC — task. Mathematics State Board, Class 10.

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In a \(\triangle ABC\), if \(DE \parallel BC\), \(AD =\) 3 \(cm\), \(DB =\) 6 \(cm\) and \(EC =\) 42 \(cm\), then find the length of \(AE\).

The length of \(AE\) is \(cm\).

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