Kite A B C D is shown. Diagonals are drawn from point A to point C and from point B to point D and intersect. The distance from B to the intersection is 9, the distance from C to the intersection is 12, the distance from D to the intersection is 16, and the distance from A to the intersection is 12. What is the length of the sides of kite ABCD?

AB = 20; CD = 15
AB = 15; CD = 20
AB = 9; CD = 16
AB = 24; CD = 25