Answer:
BD ≈ 2.8 units
Step-by-step explanation:
By angle bisector theorem,
"If a segment bisects an angle of a triangle, then it divides the opposite side into the segments which are proportional to the other two sides"
Here, AD is the bisector of the ∠BAC,
[tex]\frac{BD}{CD}=\frac{AB}{AC}[/tex]
[tex]\frac{8.1}{5.9}= \frac{BD}{2}[/tex]
BD = [tex]\frac{2\times 8.1}{5.9}[/tex]
BD = 2.75
BD ≈ 2.8 units
