{"status": "success", "data": {"description_md": "Rectangles $ABCD$ and $EFGH$ are drawn such that $D,E,C,F$ are collinear. Also, $A,D,H,G$ all lie on a circle. If $BC=16,$ $AB=107,$ $FG=17,$ and $EF=184,$ what is the length of $CE$?<br>$\\includegraphics[width=211, height=104, totalheight=104]{https://latex.artofproblemsolving.com/e/7/e/e7ea6c7e0cc9b520c0972da6942ab1b8d7da9fd5.png}$\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>Rectangles <span class=\"katex--inline\">ABCD</span> and <span class=\"katex--inline\">EFGH</span> are drawn such that <span class=\"katex--inline\">D,E,C,F</span> are collinear. Also, <span class=\"katex--inline\">A,D,H,G</span> all lie on a circle. If <span class=\"katex--inline\">BC=16,</span> <span class=\"katex--inline\">AB=107,</span> <span class=\"katex--inline\">FG=17,</span> and <span class=\"katex--inline\">EF=184,</span> what is the length of <span class=\"katex--inline\">CE</span>?<br/><img src=\"https://latex.artofproblemsolving.com/e/7/e/e7ea6c7e0cc9b520c0972da6942ab1b8d7da9fd5.png\" width=\"211\" height=\"104\" class=\"problem-image\"/></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": 3, "problem_name": "2024 AIME I Problem 5", "can_next": true, "can_prev": true, "nxt": "/problem/24_aime_I_p06", "prev": "/problem/24_aime_I_p04"}}