Question

type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar. in (\triangle prq), the length of (overline{qr}) is 8 units. the length of mid - segment (xy) is units. reset next

Explanation:

Step1: Apply 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 third side. In \(\triangle PRQ\), \(XY\) is the mid - segment and \(QR\) is the third side.
Let \(QR = 8\) units. According to the formula \(XY=\frac{1}{2}QR\).

Step2: Calculate the length of \(XY\)

Substitute \(QR = 8\) into the formula: \(XY=\frac{1}{2}\times8\).

$$XY = 4$$

Answer:

\(4\)