{"status": "success", "data": {"description_md": "Let $\\overline{CH}$ be an altitude of $\\triangle ABC$. Let $R$ and $S$ be the points where the circles inscribed in the triangles $ACH$ and $BCH$ are tangent to $\\overline{CH}$. If $AB = 1995$, $AC = 1994$, and $BC = 1993$, then $RS$ can be expressed as $m/n$, where $m$ and $n$ are relatively prime 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": "

Let \\overline{CH} be an altitude of \\triangle ABC. Let R and S be the points where the circles inscribed in the triangles ACH and BCH are tangent to \\overline{CH}. If AB = 1995, AC = 1994, and BC = 1993, then RS can be expressed as m/n, where m and n are relatively prime 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": 6, "problem_name": "1993 AIME Problem 15", "can_next": false, "can_prev": true, "nxt": "", "prev": "/problem/93_aime_p14"}}