In the given figure, a circle touches all the four sides of a quadrilateral \(ABCD\). If \(AB = 5\ cm\), \(BC = 7\ cm\) and \(CD =9 \ cm\). Find the length of \(AD\).
Gemini_Generated_Image_x05g0wx05g0wx05g.png
 
The length of \(AD\) is \(cm\).