{"status": "success", "data": {"description_md": "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?\n\n$\\textbf{(A)}\\ 48\\qquad\\textbf{(B)}\\ 60\\qquad\\textbf{(C)}\\ 108\\qquad\\textbf{(D)}\\ 120\\qquad\\textbf{(E)}\\ 169$", "description_html": "<p>The vertices of an equilateral triangle lie on the hyperbola  <span class=\"katex--inline\">xy=1</span> , and a vertex of this hyperbola is the centroid of the triangle. What is the square of the area of the triangle?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 48\\qquad\\textbf{(B)}\\ 60\\qquad\\textbf{(C)}\\ 108\\qquad\\textbf{(D)}\\ 120\\qquad\\textbf{(E)}\\ 169</span> </p>\n<hr><p>Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 4, "problem_name": "2017 AMC 10B Problem 24", "can_next": true, "can_prev": true, "nxt": "/problem/17_amc10B_p25", "prev": "/problem/17_amc10B_p23"}}