Right triangle ABC has side lengths BC=6, AC=8, and AB=10. A circle centered at O is tangent to line BC at B and passes through A. A circle centered at P is tangent to line AC at A and passes through B. What is OP?<spanclass=′latex−bold′>(A)</span>823<spanclass=′latex−bold′>(B)</span>1029<spanclass=′latex−bold′>(C)</span>1235<spanclass=′latex−bold′>(D)</span>2573<spanclass=′latex−bold′>(E)</span>3