{"status": "success", "data": {"description_md": "Equilateral $\\triangle ABC$ has side length $2$, $M$ is the midpoint of $\\overline{AC}$, and $C$ is the midpoint of $\\overline{BD}$. What is the area of $\\triangle CDM$?\n\n<center>\n<img class=\"problem-image\" height=\"305\" src=\"https://latex.artofproblemsolving.com/6/a/a/6aa004b06a2897918f89be366ce3af200115d58f.png\" width=\"668\"/>\n</center>\n$\\textrm{(A)}\\ \\frac {\\sqrt {2}}{2}\\qquad \\textrm{(B)}\\ \\frac {3}{4}\\qquad \\textrm{(C)}\\ \\frac {\\sqrt {3}}{2}\\qquad \\textrm{(D)}\\ 1\\qquad \\textrm{(E)}\\ \\sqrt {2}$", "description_html": "<p>Equilateral  <span class=\"katex--inline\">\\triangle ABC</span>  has side length  <span class=\"katex--inline\">2</span> ,  <span class=\"katex--inline\">M</span>  is the midpoint of  <span class=\"katex--inline\">\\overline{AC}</span> , and  <span class=\"katex--inline\">C</span>  is the midpoint of  <span class=\"katex--inline\">\\overline{BD}</span> . What is the area of  <span class=\"katex--inline\">\\triangle CDM</span> ?</p>\n<center>\n<img class=\"problem-image\" height=\"305\" src=\"https://latex.artofproblemsolving.com/6/a/a/6aa004b06a2897918f89be366ce3af200115d58f.png\" width=\"668\"/>\n</center>\n$\\textrm{(A)}\\ \\frac {\\sqrt {2}}{2}\\qquad \\textrm{(B)}\\ \\frac {3}{4}\\qquad \\textrm{(C)}\\ \\frac {\\sqrt {3}}{2}\\qquad \\textrm{(D)}\\ 1\\qquad \\textrm{(E)}\\ \\sqrt {2}$\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": "2005 AMC 10B Problem 14", "can_next": true, "can_prev": true, "nxt": "/problem/05_amc10B_p15", "prev": "/problem/05_amc10B_p13"}}