Question

if vw = 60, what is ux?
ux = \boxed{}

Explanation:

Step1: Apply 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. In the given triangle, \(UX\) is the mid - segment (since \(WX = XY\) and \(VU=UY\)), and \(UX\) is parallel to \(WV\).

Step2: Calculate the length of \(UX\)

We know that \(WV = 60\). By the mid - segment theorem, \(UX=\frac{1}{2}WV\). Substitute \(WV = 60\) into the formula: \(UX=\frac{1}{2}\times60\).

Answer:

\(30\)