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,
[tex]\frac{YK}{TK} =\frac{YV}{VT}[/tex]
Let us substitute the values, we get,
[tex]\frac{68}{129.2}=\frac{x-68}{57}[/tex]
Switch sides, we have,
[tex]\frac{x-68}{57}=\frac{68}{129.2}[/tex]
Multiply both sides by 57,
[tex]\frac{57(x-68)}{57}=\frac{68 *57}{129.2}[/tex]
Simplifying, we get,
[tex]x-68=30[/tex]
Adding both sides by 68, we have,
[tex]x=98[/tex]
Thus, the value of x is 98mm
