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Problem of the Week
Problem D
Halfway to the Other Side

Cube \(PQRSTUVW\) has side length \(2\). Point \(M\) is the midpoint of edge \(UT\). Determine the area of \(\triangle MQR\).

The top face of the cube has vertices P, Q, R, S. On the
bottom face, U is below P, V is below Q, W is below R, and T is below S.
UT, with midpoint M, and QR are diagonally opposite edges. Sides MQ and
MR of triangle MQR pass through the interior of the cube.