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anemone
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Given a cyclic quadrilateral $PQRS$ where $PQ=p,\,QR=q,\,RS=r$, $\angle PQR=120^{\circ}$ and $\angle PQS=30^{\circ}$.
Prove that $|\sqrt{r+p}-\sqrt{r+q}|=\sqrt{r-p-q}$
Prove that $|\sqrt{r+p}-\sqrt{r+q}|=\sqrt{r-p-q}$