Question 99
Let $ABCD$ be a rectangle and let $M,N$ lie in the interiors of sides $AB,BC$, respectively. Suppose $MC=CD$, $MD=MN$, and $C,D,M,N$ are concyclic. Find $AB/BC$.
(A) $(1+\sqrt3)/2$
(B) $\sqrt2$
(C) $3/2$
(D) $\sqrt3$
(E) $2$
(A) $(1+\sqrt3)/2$
(B) $\sqrt2$
(C) $3/2$
(D) $\sqrt3$
(E) $2$