Let A B C D be an isoceles trapezoid having parallel bases \overline{A B} and \overline{C D} with A B>C D. Line segments from a point inside A B C D to the vertices divide the trapezoid into four triangles whose areas are 2,3,4, and 5 starting with the triangle with base \overline{C D} and moving clockwise as shown in the diagram below. What is the ratio \dfrac{A B}{C D} ?
Answer Choices
A. 3
B. 2+\sqrt{2}
C. 1+\sqrt{6}
D. 2 \sqrt{3}
E. 3 \sqrt{2}