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2024 AMC 12A Question 19

AMC12 · 2024 AMC 12A

Question 19

Cyclic quadrilateral $ABCD$ has lengths $BC=CD=3$ and $DA=5$ with $\angle CDA=120^\circ.$ What is the length of the shorter diagonal of $ABCD?$
  1. $\dfrac{31}{7}$
  2. $\dfrac{33}{7}$
  3. $5$
  4. $\dfrac{39}{7}$
  5. $\dfrac{41}{7}$