{"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><br>\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>&#10;<center>&#10;<img class=\"problem-image\" height=\"252\" src=\"https://latex.artofproblemsolving.com/e/6/e/e6e2417fc32ae8c320a1c3d8622d525d47f7f8f5.png\" width=\"195\"/>&#10;</center><br/>&#10;<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>&#10;", "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"}}