{"status": "success", "data": {"description_md": "In rectangle $ABCD$, $AB=100$. Let $E$ be the midpoint of $\\overline{AD}$. Given that line $AC$ and line $BE$ are perpendicular, find the greatest integer less than $AD$.\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 rectangle <span class=\"katex--inline\">ABCD</span>, <span class=\"katex--inline\">AB=100</span>. Let <span class=\"katex--inline\">E</span> be the midpoint of <span class=\"katex--inline\">\\overline{AD}</span>. Given that line <span class=\"katex--inline\">AC</span> and line <span class=\"katex--inline\">BE</span> are perpendicular, find the greatest integer less than <span class=\"katex--inline\">AD</span>.</p>&#10;<hr/>&#10;<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>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "2009 AIME II Problem 3", "can_next": true, "can_prev": true, "nxt": "/problem/09_aime_II_p04", "prev": "/problem/09_aime_II_p02"}}