{"status": "success", "data": {"description_md": "Nondegenerate $\\triangle ABC$ has integer side lengths, $\\overline{BD}$ is an angle bisector, $AD = 3$, and $DC=8$. What is the smallest possible value of the perimeter?\n\n$\\textbf{(A)}\\ 30 \\qquad \\textbf{(B)}\\ 33 \\qquad \\textbf{(C)}\\ 35 \\qquad \\textbf{(D)}\\ 36 \\qquad \\textbf{(E)}\\ 37$\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>Nondegenerate  <span class=\"katex--inline\">\\triangle ABC</span>  has integer side lengths,  <span class=\"katex--inline\">\\overline{BD}</span>  is an angle bisector,  <span class=\"katex--inline\">AD = 3</span> , and  <span class=\"katex--inline\">DC=8</span> . What is the smallest possible value of the perimeter?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 30 \\qquad \\textbf{(B)}\\ 33 \\qquad \\textbf{(C)}\\ 35 \\qquad \\textbf{(D)}\\ 36 \\qquad \\textbf{(E)}\\ 37</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": "2010 AMC 12A Problem 14", "can_next": true, "can_prev": true, "nxt": "/problem/10_amc12A_p15", "prev": "/problem/10_amc12A_p13"}}