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MATH / ABCD is a regular tetrahedron (right triangular pyramid). If M is the midpoint of (CD)¯, then what is tan∠AMB?

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problem

ABCDABCD is a regular tetrahedron (right triangular pyramid). If MM is the midpoint of CD¯\overline{CD}, then what is tan∠AMB\tan\angle AMB?
Plain-text mathematical notation (without MathML)
ABCD is a regular tetrahedron (right triangular pyramid).  If M is the midpoint of (CD)¯, then what is tan∠AMB?
Original LaTeX notation
$ABCD$ is a regular tetrahedron (right triangular pyramid).  If $M$ is the midpoint of $\overline{CD}$, then what is $\tan\angle AMB$?

level

Level 5

type

Geometry

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