A geometry problem by Vishnu Kadiri

In a convex quadrilateral $ABCD$ , $AB=5\text{ cm}$ , $BC=17\text{ cm}$ , $CD=5\text{ cm}$ , $AD=9\text{ cm}$ . Find the distance $BD$ if it is a positive integer.

Note : In a convex quadrilateral, each interior angle is less than $180^\circ$ .