Answer:
AB=4.9
Step-by-step explanation:
Given: BK is an angle bisector of △ABC and BC=7, AK=3.5, KC=5.
To find: The value of AB.
Solution:
It is given that BK is an angle bisector of △ABC, therefore by using the angle bisector theorem we have
[tex]\frac{AB}{BC}=\frac{AK}{KC}[/tex]
Substituting the given values, we get
[tex]\frac{AB}{7}=\frac{3.5}{5}[/tex]
On cross multiplying, we get
[tex]AB=\frac{3.5{\times}7}{5}[/tex]
[tex]AB=4.9[/tex]
Thus, the value of AB is 4.9
