FERMAT 2003 Problem 17

Past Contests FERMAT FERMAT - 2003
, ,
1

In the diagram, \Delta{ABC} is right-angled at C. If BD=2x,DC=x, and \angle{ADC}=2(\angle{ABC}), then the length of AB is

Image

Answer Choices
A. 2\sqrt2x
B. \sqrt6x
C. 2\sqrt3x
D. 3x
E. 4x