In $\triangle PQR$, $PS$ is the bisector of $\angle P$. If $PQ = 6\text{ cm}$, $PR = 8\text{ cm}$, and the length of $QR = 7\text{ cm}$, find the length of segment $QS$.
Options:
- A: 3 cm
- B: 4 cm
- C: 3.5 cm
- D: 4.5 cm
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