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2012 AMC 12A Question 10

AMC12 · 2012 AMC 12A

Question 10

A triangle has area $30,$ one side of length $10,$ and the median to that side of length $9.$ Let $\theta$ be the acute angle formed by that side and the median. What is $\sin\theta?$
  1. $\dfrac{3}{10}$
  2. $\dfrac{1}{3}$
  3. $\dfrac{9}{20}$
  4. $\dfrac{2}{3}$
  5. $\dfrac{9}{10}$