Question

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

Answer 1

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

$\frac{95.2}{34}=\frac{168}{y}$

$y=\frac{168\times 34}{95.2}$

$y=60$

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.