{"status": "success", "data": {"description_md": "A set $S$ consists of triangles whose sides have integer lengths less than 5, and no two elements of $S$ are congruent or similar. What is the largest number of elements that $S$ can have?\n\n$\\textbf{(A)}\\ 8\\qquad\\textbf{(B)}\\ 9\\qquad\\textbf{(C)}\\ 10\\qquad\\textbf{(D)}\\ 11\\qquad\\textbf{(E)}\\ 12$\n___\nFull 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 set  <span class=\"katex--inline\">S</span>  consists of triangles whose sides have integer lengths less than 5, and no two elements of  <span class=\"katex--inline\">S</span>  are congruent or similar. What is the largest number of elements that  <span class=\"katex--inline\">S</span>  can have?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 8\\qquad\\textbf{(B)}\\ 9\\qquad\\textbf{(C)}\\ 10\\qquad\\textbf{(D)}\\ 11\\qquad\\textbf{(E)}\\ 12</span> </p>&#10;<hr><p>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": "2014 AMC 12B Problem 12", "can_next": true, "can_prev": true, "nxt": "/problem/14_amc12B_p13", "prev": "/problem/14_amc12B_p11"}}