{"status": "success", "data": {"description_md": "Points $C\\neq D$ lie on the same side of line $AB$ so that $\\triangle ABC$ and $\\triangle BAD$ are congruent with $AB = 9$, $BC=AD=10$, and $CA=DB=17$. The intersection of these two triangular regions has area $\\tfrac mn$, where $m$ and $n$ are relatively prime positive integers. Find $m+n$.\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": "

Points C\\neq D lie on the same side of line AB so that \\triangle ABC and \\triangle BAD are congruent with AB = 9, BC=AD=10, and CA=DB=17. The intersection of these two triangular regions has area \\tfrac mn, where m and n are relatively prime positive integers. Find m+n.

Leading zeroes must be inputted, so if your answer is 34, then input 034. Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.

", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "2019 AIME II Problem 1", "can_next": true, "can_prev": false, "nxt": "/problem/19_aime_II_p02", "prev": ""}}