Question

find up.
up =
submit

Explanation:

Step1: Use the mid - segment theorem

The mid - segment theorem states that the length of the mid - segment of a triangle is half the length of the parallel side.

Step2: Identify the parallel side and the mid - segment

Here, \( WU\) is the mid - segment of \(\triangle XYZ\) (assuming the relevant triangle structure from the mid - point markings). The side parallel to \( WU\) is \( XY\).
We know that if \( WU\) is the mid - segment, then \( WU=\frac{1}{2}XY\).
Given \( XY = 16\) (from \(12 + 4\) if we assume the relevant length markings in the figure, but more accurately, if we consider the ratio of the divided side \(12:20\) is \(3:5\) which may be a red - herring and using the mid - point property). Wait, re - evaluating: If we assume the line segment \( WU\) is a mid - segment (because of the mid - point markings on the sides of the triangle). Let's assume the side parallel to \( WU\) has length \(16\) (by adding the two parts \(12\) and \(4\) if they are segments of the parallel side). Then \( WU=\frac{1}{2}\times16\)

Step3: Calculate \( WU\)

\( WU = 8\)

Answer:

\(8\)