Triangle A B C has A B=27, A C=26, and B C=25. Let I denote the intersection of the internal angle bisectors of \triangle A B C. What is B I ?

**Answer Choices**

A. 15

B. 5+\sqrt{26}+3 \sqrt{3}

C. 3 \sqrt{26}

D. \dfrac{2}{3} \sqrt{546}

E. 9 \sqrt{3}