Question

x is the midpoint of tw and v is the midpoint of uw. if tu = 60, what is vx? vx =

Explanation:

Step1: Recall the mid - segment theorem

The mid - segment theorem states that the segment connecting the midpoints of two sides of a triangle is parallel to the third side and half its length.

Step2: Identify the mid - segment

Since \(X\) is the midpoint of \(TW\) and \(V\) is the midpoint of \(UW\), then \(VX\) is the mid - segment of \(\triangle T UW\) with respect to side \(TU\).

Step3: Calculate the length of \(VX\)

By the mid - segment theorem, \(VX=\frac{1}{2}TU\). Given \(TU = 60\), then \(VX=\frac{1}{2}\times60\).

Answer:

\(30\)