{"status": "success", "data": {"description_md": "A point $P$ is chosen in the interior of $\\triangle ABC$ so that when lines are drawn through $P$ parallel to the sides of $\\triangle ABC$, the resulting smaller triangles, $t_1$, $t_2$, and $t_3$ in the figure, have areas 4, 9, and 49, respectively. Find the area of $\\triangle ABC$.<br>$\\includegraphics[width=167, height=81, totalheight=81]{https://latex.artofproblemsolving.com/b/5/3/b53ef55edc5afbedcff3234abab6b1c9d0396ac3.png}$\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>A point <span class=\"katex--inline\">P</span> is chosen in the interior of <span class=\"katex--inline\">\\triangle ABC</span> so that when lines are drawn through <span class=\"katex--inline\">P</span> parallel to the sides of <span class=\"katex--inline\">\\triangle ABC</span>, the resulting smaller triangles, <span class=\"katex--inline\">t_1</span>, <span class=\"katex--inline\">t_2</span>, and <span class=\"katex--inline\">t_3</span> in the figure, have areas 4, 9, and 49, respectively. Find the area of <span class=\"katex--inline\">\\triangle ABC</span>.<br/><img src=\"https://latex.artofproblemsolving.com/b/5/3/b53ef55edc5afbedcff3234abab6b1c9d0396ac3.png\" width=\"167\" height=\"81\" 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": 3, "problem_name": "1984 AIME Problem 3", "can_next": true, "can_prev": true, "nxt": "/problem/84_aime_p04", "prev": "/problem/84_aime_p02"}}