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.

Determine the length of \(TU\).