Question

What is the value of x? Enter your answer in the box. 68mm 57mm 129.2mm

Answer 1

Question:

What is the value of x? Enter your answer in the box. 68mm 57mm 129.2mm

The image of the triangle is attached below:

Answer:

The value of x is 98mm

Step-by-step explanation:

It is given that VT = 57, TK = 129.2, YK = 68 and VK = x

Now, we need to find the value of x.

We shall determine the value of x, using angle bisector theorem,

`(YK)/(TK) =(YV)/(VT)`

Let us substitute the values, we get,

`(68)/(129.2)=(x-68)/(57)`

Switch sides, we have,

`(x-68)/(57)=(68)/(129.2)`

Multiply both sides by 57,

`(57(x-68))/(57)=(68 *57)/(129.2)`

Simplifying, we get,

`x-68=30`

Adding both sides by 68, we have,

`x=98`

Thus, the value of x is 98mm