{"status": "success", "data": {"description_md": "The two legs of a right triangle, which are altitudes, have lengths $2\\sqrt3$ and $6$. How long is the third altitude of the triangle?\n\n$\\textbf{(A)}\\ 1\\qquad\\textbf{(B)}\\ 2\\qquad\\textbf{(C)}\\ 3\\qquad\\textbf{(D)}\\ 4\\qquad\\textbf{(E)}\\ 5$", "description_html": "<p>The two legs of a right triangle, which are altitudes, have lengths  <span class=\"katex--inline\">2\\sqrt3</span>  and  <span class=\"katex--inline\">6</span> . How long is the third altitude of the triangle?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 1\\qquad\\textbf{(B)}\\ 2\\qquad\\textbf{(C)}\\ 3\\qquad\\textbf{(D)}\\ 4\\qquad\\textbf{(E)}\\ 5</span> </p>\n<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": 1, "problem_name": "2014 AMC 10A Problem 9", "can_next": true, "can_prev": true, "nxt": "/problem/14_amc10A_p10", "prev": "/problem/14_amc10A_p08"}}