{"status": "success", "data": {"description_md": "In triangle $ABC,$ $AB=13,$ $BC=14,$ $AC=15,$ and point $G$ is the intersection of the medians. Points $A',$ $B',$ and $C',$ are the images of $A,$ $B,$ and $C,$ respectively, after a $180^\\circ$ rotation about $G.$ What is the area of the union of the two regions enclosed by the triangles $ABC$ and $A'B'C'?$\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": "

In triangle ABC, AB=13, BC=14, AC=15, and point G is the intersection of the medians. Points A', B', and C', are the images of A, B, and C, respectively, after a 180^\\circ rotation about G. What is the area of the union of the two regions enclosed by the triangles ABC and A'B'C'?

Leading zeroes must be inputted, so if your answer is 34, then input 034. Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.

", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 4, "problem_name": "2003 AIME II Problem 6", "can_next": true, "can_prev": true, "nxt": "/problem/03_aime_II_p07", "prev": "/problem/03_aime_II_p05"}}