Question

find the value of x.

x = (simplify your answer.)

Explanation:

Step1: Use the mid - segment theorem

The mid - segment of a triangle is parallel to the third side and half its length.

Step2: Analyze the given values

We know that if we consider the triangles formed by the mid - segments. Let's assume the relationship based on the side lengths.
We have \(\frac{96}{2}=48\).
Since the side corresponding to \(x\) is related to the side of length \(96\) by the mid - segment property (the side with length \(x\) is half of the side with length \(96\) in the relevant triangle sub - structure).

Answer:

\(x = 48\)