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2005 AMC 8 Question 9

AMC8 · 2005 AMC 8

Question 9

In quadrilateral $ABCD,$ sides $\overline{AB}$ and $\overline{BC}$ both have length $10,$ sides $\overline{CD}$ and $\overline{DA}$ both have length $17,$ and the measure of angle $ADC$ is $60^\circ.$ What is the length of diagonal $\overline{AC}?$

Question illustration
  1. $13.5$
  2. $14$
  3. $15.5$
  4. $17$
  5. $18.5$