Answer:
BD = 3.75 units
Step-by-step explanation:
Given AD is an angle bisector then it divides the opposite side into segments tat are proportional to the other 2 sides, that is
[tex]\frac{AB}{AC}[/tex] = [tex]\frac{BD}{CD}[/tex] , substitute values
[tex]\frac{6}{8}[/tex] = [tex]\frac{BD}{5}[/tex] ( cross- multiply )
8 BD = 30 ( divide both sides by 8 )
BD = 3.75 units
