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1965 AMC 12 Question 8

AMC12 · 1965 AMC 12

Question 8

One side of a given triangle is $18$ inches. Inside the triangle a line segment is drawn parallel to this side forming a trapezoid whose area is one-third of that of the triangle. The length of this segment, in inches, is:
  1. $6\sqrt6$
  2. $9\sqrt2$
  3. $12$
  4. $6\sqrt3$
  5. $9$