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1961 AMC 12 Question 10

AMC12 · 1961 AMC 12

Question 10

Each side of triangle $ABC$ is $12$ units. $D$ is the foot of the perpendicular dropped from $A$ on $BC,$ and $E$ is the midpoint of $AD.$ The length of $BE,$ in the same unit, is:
  1. $\sqrt{18}$
  2. $\sqrt{28}$
  3. $6$
  4. $\sqrt{63}$
  5. $\sqrt{98}$