A geometry problem by Vishnu Kadiri

Geometry Level 4

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 \(180^\circ\).

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