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Math·Algebra·Linear equations in one variable

hard

In $△ABC$, angle $C$ is a right angle ($\angle C=90^{\circ }$). Point $E$ lies on side $\overline{AC}$ such that $CE=2\cdot AE$, and point $D$ lies on side $\overline{AB}$ such that segment $\overline{ED}$ is perpendicular to $\overline{AC}$. If $BC=198$, what is the length of segment $\overline{ED}$?

A

66

B

99

C

132

D

396