AMC 10B 2014 Problem 13

Past Contests AMC 10 2014 Part B
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Six regular hexagons surround a regular hexagon of side length 1 as shown. What is the area of \triangle A B C ?

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Answer Choices
A. 2 \sqrt{3}
B. 3 \sqrt{3}
C. 1+3 \sqrt{2}
D. 2+2 \sqrt{3}
E. 3+2 \sqrt{3}