Difference between revisions of "2017 AMC 10B Problems/Problem 24"
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==Problem 24== | ==Problem 24== | ||
The vertices of an equilateral triangle lie on the hyperbola <math>xy=1</math>, and a vertex of this hyperbola is the centroid of the triangle. What is the square of the area of the triangle? | The vertices of an equilateral triangle lie on the hyperbola <math>xy=1</math>, and a vertex of this hyperbola is the centroid of the triangle. What is the square of the area of the triangle? | ||
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| + | <math>\textbf{(A)}\ 48\qquad\textbf{(B)}\ 60\qquad\textbf{(C)}\ 108\qquad\textbf{(D)}\ 120\qquad\textbf{(E)}\ 169</math> | ||
Revision as of 10:06, 16 February 2017
Problem 24
The vertices of an equilateral triangle lie on the hyperbola 
, and a vertex of this hyperbola is the centroid of the triangle. What is the square of the area of the triangle?
