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Aleksandr [31]
3 years ago
6

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

Mathematics
2 answers:
xenn [34]3 years ago
7 0
136mm?? Isn't it 68 x 2 because Y-K and V-Y are the same, so 68 x 2=136? I don't know
Black_prince [1.1K]3 years ago
6 0

Answer:

x=98

Step-by-step explanation:

We have been given that diagram of a triangle. We are asked to find the value of the x.  

We will use angle bisector theorem to solve for x. Angle bisector theorem states, when a line segment bisects an angle of a triangle, then it divides opposite into segments that are proportional to each other.

We can set a proportion as:

\frac{VY}{TV}=\frac{KY}{TK}

\frac{VY}{57}=\frac{68}{129.2}

\frac{VY}{57}\times 57=\frac{68}{129.2}\times 57

VY=30

Now we will add the lengths of VY and YK to find the value of x.

x=VY+YK

x=30+68

x=98

Therefore, the value of x is 98 mm.

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