Question

Analyze the diagram below and complete the instructions that follow.

Find the value of x.

A.
10
B.
12
C.
27
D.
43.5

Answer 1

check the picture below.

Answer 2

Answer: Option 'C' is correct.

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.

`(16.5)/(x)=(11)/(18)\\\\x=(18* 16.5)/(11)\\\\x=1.5* 18\\\\x=27`

Hence, Option 'C' is correct.