Respuesta :

check the picture below.
Ver imagen jdoe0001

Answer: Option 'C' is correct.

Step-by-step explanation:

Since we have given that

Length of base BC = 29

AD = 11

BD = 29-11=18

AB = 16.5

AC = x

Since AD is the angle bisector of angle A.

So, the ratio of sides would be same.

[tex]\dfrac{16.5}{x}=\dfrac{11}{18}\\\\x=\dfrac{18\times 16.5}{11}\\\\x=1.5\times 18\\\\x=27[/tex]

Hence, Option 'C' is correct.