AMC 10 2000 Problem 16

The diagram shows 28 lattice points, each one unit from its nearest neighbors. Segment A B meets segment C D at E. Find the length of segment A E.

Answer Choices
A. 4 \sqrt{5} / 3
B. 5 \sqrt{5} / 3
C. 12 \sqrt{5} / 7
D. 2 \sqrt{5}
E. 5 \sqrt{65} / 9

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