{"status": "success", "data": {"description_md": "Lines $l_1$, $l_2$, and $l_3$ pass through the centroid of $\\triangle ABC$ and are parallel to $AB$, $BC$, and $CA$ respectively. These lines intersect $\\triangle ABC$ at six distinct points, which form hexagon $PIEYON$. If the area of $PIEYON$ is $60$, what is the area of $\\triangle ABC$?", "description_html": "<p>Lines <span class=\"katex--inline\">l_1</span>, <span class=\"katex--inline\">l_2</span>, and <span class=\"katex--inline\">l_3</span> pass through the centroid of <span class=\"katex--inline\">\\triangle ABC</span> and are parallel to <span class=\"katex--inline\">AB</span>, <span class=\"katex--inline\">BC</span>, and <span class=\"katex--inline\">CA</span> respectively. These lines intersect <span class=\"katex--inline\">\\triangle ABC</span> at six distinct points, which form hexagon <span class=\"katex--inline\">PIEYON</span>. If the area of <span class=\"katex--inline\">PIEYON</span> is <span class=\"katex--inline\">60</span>, what is the area of <span class=\"katex--inline\">\\triangle ABC</span>?</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "TxO Math Bowl 2024 - Guts Contest - Set 3 Problem 1", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}