Question 16The solutions to the equation $(z+6)^8=81$ are connected in the complex plane to form a convex regular polygon, three of whose vertices are labeled $A,$ $B,$ and $C.$ What is the least possible area of $\triangle ABC?$$\dfrac{1}{6}\sqrt{6}$$\dfrac{3}{2}\sqrt{2}-\dfrac{3}{2}$$2\sqrt{3}-2\sqrt{2}$$\dfrac{1}{2}\sqrt{2}$$\sqrt{3}-1$