35. Exemplar exercise problems VIII

In figure, if \(\angle A = \angle C\), \(AB = 6 \ cm\), \(BP = 15 \ cm\), \(AP = 12 \ cm\) and \(CP = 4 \ cm\), then find the lengths of \(PD\) and \(CD\).

 

 

\(PD = \) \(cm\) and \(CD = \) \(cm\)