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1975 AMC 12 Question 20

AMC12 · 1975 AMC 12

Question 20

In the adjoining figure triangle $ABC$ is such that $AB=4$ and $AC=8.$ If $M$ is the midpoint of $BC$ and $AM=3,$ what is the length of $BC?$

Question illustration
  1. $2\sqrt{26}$
  2. $2\sqrt{31}$
  3. $9$
  4. $4+2\sqrt{13}$
  5. not enough information given to solve the problem