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Problem of the Week
Problem E
The Other Side

In \(\triangle STU\), a median is drawn from vertex \(S\), meeting side \(TU\) at point \(M\). The length of side \(ST\) is \(7\) cm, the length of side \(SU\) is \(9\) cm, and the length of the median \(SM\) is \(7\) cm.

In triangle STU, point M divides TU into two equal segments, TM and MU. Vertex S is located above segment TM.

Determine the length of \(TU\).