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2017 AMC 10B Question 24

AMC10 · 2017 AMC 10B

Question 24

The vertices of an equilateral triangle lie on the hyperbola $xy=1,$ and a vertex of this hyperbola is the centroid of the triangle. What is the square of the area of the triangle?
  1. $48 $
  2. $60 $
  3. $108 $
  4. $120 $
  5. $169 $