Difference between revisions of "2022 AMC 12A Problems/Problem 12"

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Revision as of 11:20, 12 November 2022

Problem

Let $M$ be the midpoint of $AB$ in regular tetrahedron $ABCD$. What is $\cos(\angle CMD)$?

$\textbf{(A) } \frac14 \qquad \textbf{(B) } \frac13 \qquad \textbf{(C) } \frac25 \qquad \textbf{(D) } \frac12 \qquad \textbf{(E) } \frac{\sqrt{3}}{2}$