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1970 AMC 12 Question 28

AMC12 · 1970 AMC 12

Question 28

In triangle $ABC,$ the median from vertex $A$ is perpendicular to the median from vertex $B.$ If the lengths of sides $AC$ and $BC$ are $6$ and $7,$ respectively, then the length of side $AB$ is:
  1. $\sqrt{17}$
  2. $4$
  3. $4\tfrac12$
  4. $2\sqrt5$
  5. $4\tfrac14$