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2017 AMC 10B Problem 24

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2017 AMC 10B Problem 24AMC 10 Step by Step
Name:                             Date: September 13, 2026
Coordinate Geometry · difficulty 4 of 5 · about 7 min · position P21-25

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

  1. A)

    4848

  2. B)

    6060

  3. C)

    108108

  4. D)

    120120

  5. E)

    169169

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