Screenshot 2025-12-26 110008.jpg
 
In the adjacent figure, \(QA\) and \(PB\) are perpendiculars to \(AB\). If \(AO = 15 \ cm\), \(BO = 9 \ cm\) and \(PB = 12 \ cm\). Find \(AQ\).
 
The length of \(AQ\) \(=\) \(cm\).