Question

1. what is the value of x?

4
8
12
16

Explanation:

Step1: Apply the mid - segment theorem

The mid - segment of a triangle is parallel to the third side and half its length. Here, the segment with length \(3x\) is the mid - segment and the side parallel to it has length \(24\). So, \(3x=\frac{1}{2}\times24\).

Step2: Solve for \(x\)

Divide both sides of the equation \(3x = 12\) by \(3\). We get \(x=\frac{12}{3}\).

Answer:

\(4\)