Question

given:
l, m, n are midpoints
median to \overline{ab}
segment cr
segment cn
segment am

Explanation:

Step1: Recall the definition of a median

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

Step2: Identify the mid - point of \(AB\)

Since \(L,M,N\) are mid - points (given), and we are looking for the median to \(\overline{AB}\). The mid - point of \(\overline{AB}\) is \(N\) (because in a triangle, if we consider the side \(AB\), and the vertices \(A\), \(B\) and \(C\)).

Step3: Determine the median

The line segment that joins the vertex \(C\) to the mid - point \(N\) of \(\overline{AB}\) is \(\overline{CN}\)

Answer:

segment \(CN\)