In a triangle $\text{ABC}$, the lengths of the sides $\text{AB}$ and $\text{AC}$ equal $17.5$ cm and $9$ cm respectively. Let $\text{D}$ be a point on the line segment $\text{BC}$ such that $\text{AD}$ is perpendicular to $\text{BC}.$ If $\text{AD} = 3$ cm, then what is the radius (in cm) of the circle circumscribing the triangle $\text{ABC}?$
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$17.05$
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$27.85$
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$22.45$
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$32.25$
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$26.25$