{"status": "success", "data": {"description_md": "Triangle $ABC$ has $AB = 13$ and $AC = 15$, and the altitude to $\\overline{BC}$ has length $12$. What is the sum of the two possible values of $BC$?\n\n$\\textbf{(A)}\\ 15\\qquad \\textbf{(B)}\\ 16\\qquad \\textbf{(C)}\\ 17\\qquad \\textbf{(D)}\\ 18\\qquad \\textbf{(E)}\\ 19$\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>Triangle  <span class=\"katex--inline\">ABC</span>  has  <span class=\"katex--inline\">AB = 13</span>  and  <span class=\"katex--inline\">AC = 15</span> , and the altitude to  <span class=\"katex--inline\">\\overline{BC}</span>  has length  <span class=\"katex--inline\">12</span> . What is the sum of the two possible values of  <span class=\"katex--inline\">BC</span> ?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 15\\qquad \\textbf{(B)}\\ 16\\qquad \\textbf{(C)}\\ 17\\qquad \\textbf{(D)}\\ 18\\qquad \\textbf{(E)}\\ 19</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": "2009 AMC 12B Problem 13", "can_next": true, "can_prev": true, "nxt": "/problem/09_amc12B_p14", "prev": "/problem/09_amc12B_p12"}}