{"status": "success", "data": {"description_md": "Let triangle $ABC$ be a right triangle in the xy-plane with a right angle at $C$. Given that the length of the hypotenuse $AB$ is 60, and that the medians through $A$ and $B$ lie along the lines $y=x+3$ and $y=2x+4$ respectively, find the area of triangle $ABC$.\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>Let triangle <span class=\"katex--inline\">ABC</span> be a right triangle in the xy-plane with a right angle at <span class=\"katex--inline\">C</span>. Given that the length of the hypotenuse <span class=\"katex--inline\">AB</span> is 60, and that the medians through <span class=\"katex--inline\">A</span> and <span class=\"katex--inline\">B</span> lie along the lines <span class=\"katex--inline\">y=x+3</span> and <span class=\"katex--inline\">y=2x+4</span> respectively, find the area of triangle <span class=\"katex--inline\">ABC</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": 6, "problem_name": "1986 AIME Problem 15", "can_next": false, "can_prev": true, "nxt": "", "prev": "/problem/86_aime_p14"}}