Question

Find the value of x
Α. 7
B. 9
c. 11
D. 12​

Answer 1

Final answer is
`x=9`.

Explanation:

we know that if BD is angle bisector of angle B in triangle ABC then

`(AB)/(BC)=(AD)/(DC)`

`(36)/(28)=(x)/(DC)`

`(36)/(28)=(x)/(16-x)`

`(9)/(7)=(x)/(16-x)`

cross multiply

`7x=9(16-x)`

`7x=144-9x`

`7x+9x=144`

`16x=144`

`x=(144)/(9)`

`x=9`

Hence final answer is
`x=9`.