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1981 AMC 12 Question 25

AMC12 · 1981 AMC 12

Question 25

In triangle $ABC$ in the adjoining figure, $AD$ and $AE$ trisect $\angle BAC.$ The lengths of $BD,$ $DE,$ and $EC$ are $2,$ $3,$ and $6,$ respectively. The length of the shortest side of $\triangle ABC$ is

Question illustration
  1. $2\sqrt{10}$
  2. $11$
  3. $6\sqrt6$
  4. $6$
  5. not uniquely determined by the given information