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2023 AMC 12B Question 17

AMC12 · 2023 AMC 12B

Question 17

Triangle $ABC$ has side lengths in arithmetic progression, and the smallest side has length $6.$ If the triangle has an angle of $120^\circ,$ what is the area of $ABC?$
  1. $12\sqrt{3}$
  2. $8\sqrt{6}$
  3. $14\sqrt{2}$
  4. $20\sqrt{2}$
  5. $15\sqrt{3}$