{"status": "success", "data": {"description_md": "In $\\triangle ABC$, $AB= 425$, $BC=450$, and $AC=510$. An interior point $P$ is then drawn, and segments are drawn through $P$ parallel to the sides of the triangle. If these three segments are of an equal length $d$, find $d$.\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>In <span class=\"katex--inline\">\\triangle ABC</span>, <span class=\"katex--inline\">AB= 425</span>, <span class=\"katex--inline\">BC=450</span>, and <span class=\"katex--inline\">AC=510</span>. An interior point <span class=\"katex--inline\">P</span> is then drawn, and segments are drawn through <span class=\"katex--inline\">P</span> parallel to the sides of the triangle. If these three segments are of an equal length <span class=\"katex--inline\">d</span>, find <span class=\"katex--inline\">d</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": 4, "problem_name": "1986 AIME Problem 9", "can_next": true, "can_prev": true, "nxt": "/problem/86_aime_p10", "prev": "/problem/86_aime_p08"}}