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1977 AMC 12 Question 15

AMC12 · 1977 AMC 12

Question 15

Each of the three circles in the adjoining figure is externally tangent to the other two, and each side of the triangle is tangent to two of the circles. If each circle has radius three, then the perimeter of the triangle is

Question illustration
  1. $36+9\sqrt2$
  2. $36+6\sqrt3$
  3. $36+9\sqrt3$
  4. $18+18\sqrt3$
  5. $45$