Question

find the value of x
x =

Explanation:

Step1: Use the mid - segment theorem

The mid - segment of a triangle is parallel to the third side and half its length. Here, the segment of length \(2x\) is the mid - segment and the third side has length \(16\). So, \(2x=\frac{1}{2}\times16\).

Step2: Solve the equation for \(x\)

Divide both sides of the equation \(2x = 8\) by \(2\). We get \(x=\frac{8}{2}\).

Answer:

\(x = 4\)