Answer:
12.5 units
Explanation:
You want the length of the segment marked x in triangle ABC with AB=28, AC=25, angle bisector AD, BD=14, and DC=x.
Proportion
The angle bisector divides the sides proportionally:
BD/AB = CD/AC
14/28 = x/25
x = 25(14/28) = 25/2 . . . . multiply by 25
x = 12.5