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?
Answer Choices
A. \dfrac{3 \sqrt{5}}{2}
B. \dfrac{7}{2}
C. \sqrt{15}
D. \dfrac{\sqrt{65}}{2}
E. \dfrac{9}{2}