{"status": "success", "data": {"description_md": "In trapezoid $ABCD,$ leg $\\overline{BC}$ is perpendicular to bases $\\overline{AB}$ and $\\overline{CD},$ and diagonals $\\overline{AC}$ and $\\overline{BD}$ are perpendicular. Given that $AB=\\sqrt{11}$ and $AD=\\sqrt{1001},$ find $BC^2.$\n___\nLeading zeroes must be inputted, so if your answer is `34`, then input `034`. Full 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>In trapezoid <span class=\"katex--inline\">ABCD,</span> leg <span class=\"katex--inline\">\\overline{BC}</span> is perpendicular to bases <span class=\"katex--inline\">\\overline{AB}</span> and <span class=\"katex--inline\">\\overline{CD},</span> and diagonals <span class=\"katex--inline\">\\overline{AC}</span> and <span class=\"katex--inline\">\\overline{BD}</span> are perpendicular. Given that <span class=\"katex--inline\">AB=\\sqrt{11}</span> and <span class=\"katex--inline\">AD=\\sqrt{1001},</span> find <span class=\"katex--inline\">BC^2.</span></p>&#10;<hr><p>Leading zeroes must be inputted, so if your answer is <code>34</code>, then input <code>034</code>. 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": "2000 AIME II Problem 8", "can_next": true, "can_prev": true, "nxt": "/problem/00_aime_II_p09", "prev": "/problem/00_aime_II_p07"}}