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

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,

$\frac{YK}{TK} =\frac{YV}{VT}$

Let us substitute the values, we get,

$\frac{68}{129.2}=\frac{x-68}{57}$

Switch sides, we have,

$\frac{x-68}{57}=\frac{68}{129.2}$

Multiply both sides by 57,

$\frac{57(x-68)}{57}=\frac{68 *57}{129.2}$

Simplifying, we get,

$x-68=30$

Adding both sides by 68, we have,

$x=98$

Thus, the value of x is 98mm