Question

What is the value of x? Enter your answer in the box. ___ cm

Answer 1

The value of x is 94 cm.

Explanation:

Given information: VT=95.2 cm, VY=34 cm, and TK=168 cm.

Let the length of YK be y.

Since TY is angle bisector, therefore by triangle angle bisector theorem we get

`(95.2)/(34)=(168)/(y)`

`y=(168* 34)/(95.2)`

`y=60`

The length of YK is 60 cm.

The value of x is

`x=VK=VY+YK`

`x=34+60`

`x=94`

Therefore the value of x is 94 cm.