Triangle A B C has positive integer side lengths with A B=A C. Let I be the intersection of the bisectors of \angle B and \angle C. Suppose B I=8. Find the smallest possible perimeter of \triangle A B C.
Triangle A B C has positive integer side lengths with A B=A C. Let I be the intersection of the bisectors of \angle B and \angle C. Suppose B I=8. Find the smallest possible perimeter of \triangle A B C.