In a right-angled triangle $ABC$, right-angled at $B$, $BD$ is perpendicular to hypotenuse $AC$. If $AD = 4\text{ cm}$ and $DC = 9\text{ cm}$, find the length of $BD$.
Options:
- A: 6 cm
- B: 5 cm
- C: 7 cm
- D: 8 cm
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