Missing Side

Geometry Level pending

Point \(\text{U}\) lies on the height \(\overline{QT}\) of \(\triangle\text{QRS}\). Given that \(\overline{RQ}=2\sqrt{15}\), \(\overline{RU}=2\sqrt{10}\), and \(\overline{US}=4\) find the length of \(\overline{QS}\).

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