The vertices of an equilateral triangle lie on the hyperbola x y=1, and a vertex of this hyperbola is the centroid of the triangle. What is the square of the area of the triangle?

**Answer Choices**

A. 48

B. 60

C. 108

D. 120

E. 169

The vertices of an equilateral triangle lie on the hyperbola x y=1, and a vertex of this hyperbola is the centroid of the triangle. What is the square of the area of the triangle?

**Answer Choices**

A. 48

B. 60

C. 108

D. 120

E. 169