{"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\n$\\textbf{(A)} \\frac {\\sqrt {2}}{2}\\qquad \\textbf{(B)}\\ \\frac {3}{4}\\qquad \\textbf{(C)}\\ \\frac {\\sqrt {3}}{2}\\qquad \\textbf{(D)}\\ 1\\qquad \\textbf{(E)}\\ \\sqrt {2}$", "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>&#10;<center>&#10;<img class=\"problem-image\" height=\"305\" src=\"https://latex.artofproblemsolving.com/6/a/a/6aa004b06a2897918f89be366ce3af200115d58f.png\" width=\"668\"/>&#10;</center>&#10;<p><span class=\"katex--inline\">\\textbf{(A)} \\frac {\\sqrt {2}}{2}\\qquad \\textbf{(B)}\\ \\frac {3}{4}\\qquad \\textbf{(C)}\\ \\frac {\\sqrt {3}}{2}\\qquad \\textbf{(D)}\\ 1\\qquad \\textbf{(E)}\\ \\sqrt {2}</span></p>&#10;", "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"}}