{"status": "success", "data": {"description_md": "The line $12x+5y=60$ forms a triangle with the coordinate axes. What is the sum of the lengths of the altitudes of this triangle?\n\n$\\textbf{(A)}\\; 20 \\qquad\\textbf{(B)}\\; \\dfrac{360}{17} \\qquad\\textbf{(C)}\\; \\dfrac{107}{5} \\qquad\\textbf{(D)}\\; \\dfrac{43}{2} \\qquad\\textbf{(E)}\\; \\dfrac{281}{13}$\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>The line  <span class=\"katex--inline\">12x+5y=60</span>  forms a triangle with the coordinate axes. What is the sum of the lengths of the altitudes of this triangle?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)}\\; 20 \\qquad\\textbf{(B)}\\; \\dfrac{360}{17} \\qquad\\textbf{(C)}\\; \\dfrac{107}{5} \\qquad\\textbf{(D)}\\; \\dfrac{43}{2} \\qquad\\textbf{(E)}\\; \\dfrac{281}{13}</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": "2015 AMC 12B Problem 11", "can_next": true, "can_prev": true, "nxt": "/problem/15_amc12B_p12", "prev": "/problem/15_amc12B_p10"}}