Question

which line segment is a median of \\( \triangle prt \\)?

Explanation:

Step1: Recall the definition of a median

A median of a triangle is a line segment that joins a vertex of a triangle to the mid - point of the opposite side.

Step2: Analyze the given triangle

In \(\triangle PRT\), for a segment to be a median:

• For vertex \(R\), we need to check if the segment from \(R\) connects to the mid - point of the opposite side \(PT\).
• Given \(TU = 50\) and \(UP=50\), so \(U\) is the mid - point of \(PT\) (since \(TU = UP\)).
• The line segment \(RU\) connects vertex \(R\) to the mid - point \(U\) of side \(PT\)

Answer:

\(RU\)