Answer:
The value of x is 94 cm.
Step-by-step 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
[tex]\frac{95.2}{34}=\frac{168}{y}[/tex]
[tex]y=\frac{168\times 34}{95.2}[/tex]
[tex]y=60[/tex]
The length of YK is 60 cm.
The value of x is
[tex]x=VK=VY+YK[/tex]
[tex]x=34+60[/tex]
[tex]x=94[/tex]
Therefore the value of x is 94 cm.
