{"status": "success", "data": {"description_md": "As shown in the figure, triangle $ABC$ is divided into six smaller triangles by lines drawn from the vertices through a common interior point. The areas of four of these triangles are as indicated. Find the area of triangle $ABC$.<br><br>$\\includegraphics[width=167, height=146, totalheight=146]{https://latex.artofproblemsolving.com/1/4/e/14e308bf8ea0de5d9e189366951e9bf830fcbbb7.png}$\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>As shown in the figure, triangle <span class=\"katex--inline\">ABC</span> is divided into six smaller triangles by lines drawn from the vertices through a common interior point. The areas of four of these triangles are as indicated. Find the area of triangle <span class=\"katex--inline\">ABC</span>.<br/><br/><img src=\"https://latex.artofproblemsolving.com/1/4/e/14e308bf8ea0de5d9e189366951e9bf830fcbbb7.png\" width=\"167\" height=\"146\" 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": 4, "problem_name": "1985 AIME Problem 6", "can_next": true, "can_prev": true, "nxt": "/problem/85_aime_p07", "prev": "/problem/85_aime_p05"}}