{"status": "success", "data": {"description_md": "Triangle $AMC$ is isosceles with $AM = AC$. Medians $\\overline{MV}$ and $\\overline{CU}$ are perpendicular to each other, and $MV=CU=12$. What is the area of $\\triangle AMC?$\n\n<center>\n<img class=\"problem-image\" height=\"252\" src=\"https://latex.artofproblemsolving.com/e/6/e/e6e2417fc32ae8c320a1c3d8622d525d47f7f8f5.png\" width=\"195\"/>\n</center>\n\n$\\textbf{(A) } 48 \\qquad \\textbf{(B) } 72 \\qquad \\textbf{(C) } 96 \\qquad \\textbf{(D) } 144 \\qquad \\textbf{(E) } 192$", "description_html": "<p>Triangle  <span class=\"katex--inline\">AMC</span>  is isosceles with  <span class=\"katex--inline\">AM = AC</span> . Medians  <span class=\"katex--inline\">\\overline{MV}</span>  and  <span class=\"katex--inline\">\\overline{CU}</span>  are perpendicular to each other, and  <span class=\"katex--inline\">MV=CU=12</span> . What is the area of  <span class=\"katex--inline\">\\triangle AMC?</span> </p>\n<center>\n<img class=\"problem-image\" height=\"252\" src=\"https://latex.artofproblemsolving.com/e/6/e/e6e2417fc32ae8c320a1c3d8622d525d47f7f8f5.png\" width=\"195\"/>\n</center>\n<p> <span class=\"katex--inline\">\\textbf{(A) } 48 \\qquad \\textbf{(B) } 72 \\qquad \\textbf{(C) } 96 \\qquad \\textbf{(D) } 144 \\qquad \\textbf{(E) } 192</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": 3, "problem_name": "2020 AMC 10A Problem 12", "can_next": true, "can_prev": true, "nxt": "/problem/20_amc10A_p13", "prev": "/problem/20_amc10A_p11"}}