<|system|>
Solve for $r$: $r = \displaystyle\frac{\sqrt{5^2+12^2}}{\sqrt{16+9}}$. Express as a common fraction.</s>.
<|user|>
Can you answer based on context?
<|assistant|>
We have  \[r = \displaystyle\frac{\sqrt{5^2+12^2}}{\sqrt{16+9}} = \frac{\sqrt{25+144}}{\sqrt{25}} = \frac{\sqrt{169}}{5} = \frac{13}{5}.\]