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MathNet 2012 Question 24

Math Olympiad Vault · MathNet 2012

Question 24

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

Question illustration

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