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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 $\text{ABC}?$

  1. $17.05$

  2. $27.85$

  3. $22.45$

  4. $32.25$

  5. $26.25$

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