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1971 AMC 12 Question 31

AMC12 · 1971 AMC 12

Question 31

Quadrilateral $ABCD$ is inscribed in a circle with side $AD,$ a diameter of length $4.$ If sides $AB$ and $BC$ each have length $1,$ then side $CD$ has length:

Question illustration
  1. $\frac{7}{2}$
  2. $\frac{5\sqrt2}{2}$
  3. $\sqrt{11}$
  4. $\sqrt{13}$
  5. $2\sqrt3$