Question 32
Let $ABCD$ be an isosceles trapezoid such that $CD \gt AB = 4$. Let $E$ be a point on line $CD$ such that $DE = 2$ and $D$ lies between $E$ and $C$. Let $M$ be the midpoint of $\overline{AE}$. Given that points $A$, $B$, $C$, $D$, and $M$ lie on a circle with radius $5$, compute $MD$.