# Problem #1136

 1136 A triangle with sides of $5, 12,$ and $13$ has both an inscribed and a circumscribed circle. What is the distance between the centers of those circles? $\mathrm{(A) \ } \frac{3\sqrt{5}}{2} \qquad \mathrm{(B) \ } \frac{7}{2} \qquad \mathrm{(C) \ } \sqrt{15} \qquad \mathrm{(D) \ } \frac{\sqrt{65}}{2} \qquad \mathrm{(E) \ } \frac{9}{2}$ This problem is copyrighted by the American Mathematics Competitions.
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