# 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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