Answer :

The value of x in the given triangle ΔVKT is, 166 mm

What is Pythagoras theorem?

It is the most important theorem of mathematics, which tells us the relationship between sides of the right angle triangle, which are known as Base(A), Height(B), Hypotenuse(H).

Pythagoras theorem,

H² = A² + B²


Given that.

A triangle ΔVKT,

It contains two more right angle triangles,

ΔYKT & ΔVYT

By using Pythagoras theorem we can calculate the value of YT and then Value of VY,

TK² = TY² + YK²

129.2² = TY² + 68²

TY = 109.85

Now by applying Pythagoras theorem in another triangle YVT

The value of VY = 93.9 ≈ 94 mm

Now the length of VK = x = 94 + 68

= 168 mm

To know more about Pythagoras theorem check:

https://brainly.com/question/343682

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