{"status": "success", "data": {"description_md": "The ratio of the short side of a certain rectangle to the long side is equal to the ratio of the long side to the diagonal. What is the square of the ratio of the short side to the long side of this rectangle?\n\n$\\textbf{(A)}\\ \\frac{\\sqrt{3}-1}{2}\\qquad\\textbf{(B)}\\ \\frac{1}{2}\\qquad\\textbf{(C)}\\ \\frac{\\sqrt{5}-1}{2} \\qquad\\textbf{(D)}\\ \\frac{\\sqrt{2}}{2} \\qquad\\textbf{(E)}\\ \\frac{\\sqrt{6}-1}{2}$\n___\nFull credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "description_html": "<p>The ratio of the short side of a certain rectangle to the long side is equal to the ratio of the long side to the diagonal. What is the square of the ratio of the short side to the long side of this rectangle?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)}\\ \\frac{\\sqrt{3}-1}{2}\\qquad\\textbf{(B)}\\ \\frac{1}{2}\\qquad\\textbf{(C)}\\ \\frac{\\sqrt{5}-1}{2} \\qquad\\textbf{(D)}\\ \\frac{\\sqrt{2}}{2} \\qquad\\textbf{(E)}\\ \\frac{\\sqrt{6}-1}{2}</span> </p>&#10;<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": 2, "problem_name": "2017 AMC 12B Problem 8", "can_next": true, "can_prev": true, "nxt": "/problem/17_amc12B_p09", "prev": "/problem/17_amc12B_p07"}}