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1980 AMC 12 Question 19

AMC12 · 1980 AMC 12

Question 19

Let $C_1,$ $C_2,$ and $C_3$ be three parallel chords of a circle on the same side of the center. The distance between $C_1$ and $C_2$ is the same as the distance between $C_2$ and $C_3.$ The lengths of the chords are $20,$ $16,$ and $8.$ The radius of the circle is
  1. $12$
  2. $4\sqrt7$
  3. $\frac{5\sqrt{65}}3$
  4. $\frac{5\sqrt{22}}2$
  5. not uniquely determined by the given information