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2011 AMC 12A Question 17

AMC12 · 2011 AMC 12A

Question 17

Circles with radii $1,$ $2,$ and $3$ are mutually externally tangent. What is the area of the triangle determined by the points of tangency?
  1. $\dfrac{3}{5}$
  2. $\dfrac{4}{5}$
  3. $1$
  4. $\dfrac{6}{5}$
  5. $\dfrac{4}{3}$