Answer:
Step-by-step explanation:
Given: BK is an angle bisector of △ABC and BC=7, AK=3.5, and KC=5
To find: AB
Solution: Since, from the given information, the two triangles( ΔABK and ΔBKC) will be similar and then using the proportionality theorem , we get
[tex]\frac{AB}{BC}=\frac{AK}{KC}[/tex]
Substituting the values, we get
⇒[tex]\frac{AB}{7}=\frac{3.5}{5}[/tex]
⇒[tex]5AB=24.5[/tex]
⇒[tex]AB=4.9[/tex]
Thus, the value of AB=4.9.
