{"status": "success", "data": {"description_md": "Let $M$ be the midpoint of $\\overline{AB}$ in regular tetrahedron $ABCD$. What is $\\cos(\\angle CMD)$?\n\n$\\textbf{(A) } \\frac14 \\qquad \\textbf{(B) } \\frac13 \\qquad \\textbf{(C) } \\frac25 \\qquad \\textbf{(D) } \\frac12 \\qquad \\textbf{(E) } \\frac{\\sqrt{3}}{2}$\n___\nFull credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "description_html": "<p>Let  <span class=\"katex--inline\">M</span>  be the midpoint of  <span class=\"katex--inline\">\\overline{AB}</span>  in regular tetrahedron  <span class=\"katex--inline\">ABCD</span> . What is  <span class=\"katex--inline\">\\cos(\\angle CMD)</span> ?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A) } \\frac14 \\qquad \\textbf{(B) } \\frac13 \\qquad \\textbf{(C) } \\frac25 \\qquad \\textbf{(D) } \\frac12 \\qquad \\textbf{(E) } \\frac{\\sqrt{3}}{2}</span> </p>&#10;<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": "2022 AMC 12A Problem 12", "can_next": true, "can_prev": true, "nxt": "/problem/22_amc12A_p13", "prev": "/problem/22_amc12A_p11"}}