A circle of radius 1 is tangent to a circle of radius 2 . The sides of \triangle A B C are tangent to the circles as shown, and the sides \overline{A B} and \overline{A C} are congruent. What is the area of \triangle A B C ?
Answer Choices
A. \dfrac{35}{2}
B. 15 \sqrt{2}
C. \dfrac{64}{3}
D. 16 \sqrt{2}
E. 24