Question 24
The figure shows three circles of radii $1,2,3$, pairwise tangent at the marked points. What is the length of $AB$?

A) $1$; B) $\sqrt2$; C) $\frac{1+\sqrt5}{2}$; D) $\frac32$; E) $\sqrt3$.

A) $1$; B) $\sqrt2$; C) $\frac{1+\sqrt5}{2}$; D) $\frac32$; E) $\sqrt3$.