Question 16A circle of radius $1$ is tangent to a circle of radius $2.$ The sides of $\triangle ABC$ are tangent to the circles as shown, and the sides $AB$ and $AC$ are congruent. What is the area of $\triangle ABC?$ $\dfrac{35}{2}$$15\sqrt{2}$$\dfrac{64}{3}$$16\sqrt{2}$$24$
