# 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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