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In \( \Delta ABC\), \(D\) and \(E\) are points on the sides \(AB\) and \(AC\) respectively such that \(DE \parallel BC\) if ADDB=34 and \(AC = 15 \ cm\), find \(AE\).
 
Answer:
 
The length of \(AE\) is  \(cm\).
 
[Note: Round off your answer to two decimal places.]