{"status": "success", "data": {"description_md": "Diameter $AB$ of a circle has length a 2-digit integer (base ten). Reversing the digits gives the length of the perpendicular chord $CD$. The distance from their intersection point $H$ to the center $O$ is a positive rational number. Determine the length of $AB$.\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>Diameter <span class=\"katex--inline\">AB</span> of a circle has length a 2-digit integer (base ten). Reversing the digits gives the length of the perpendicular chord <span class=\"katex--inline\">CD</span>. The distance from their intersection point <span class=\"katex--inline\">H</span> to the center <span class=\"katex--inline\">O</span> is a positive rational number. Determine the length of <span class=\"katex--inline\">AB</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": 5, "problem_name": "1983 AIME Problem 12", "can_next": true, "can_prev": true, "nxt": "/problem/83_aime_p13", "prev": "/problem/83_aime_p11"}}