The angle bisector divides the opposite side into segments proportional to the sides of the triangle.
side of length 4 is divided into segments 11 : 13. One is 4*11/24 = 11/6, the other 13/6.
side of length 11 is divided into segments 4 : 13. One is 11*4/17 = 44/17, the other is 11*13/17 = 143/17
side of length 13 is divided into segments 4 : 11. One is 13*4/15 = 52/15, the other is 13*11/15 = 143/15