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1985 AMC 12 Question 22

AMC12 · 1985 AMC 12

Question 22

In a circle with center $O,$ $AD$ is a diameter, $ABC$ is a chord, $BO=5$ and $\angle ABO=\overset{\frown}{CD}=60^\circ.$ Then the length of $BC$ is

Question illustration
  1. $3$
  2. $3+\sqrt3$
  3. $5-\frac{\sqrt3}{2}$
  4. $5$
  5. none of the above