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Medians of a Triangle

A median of a triangle is a line segment drawn from a vertex to the midpoint of the opposite side of the vertex.

The medians of a triangle are concurrent at a point. The point of concurrency is called the centroid.

The fact that $\overline{KM}$ is a median tells us that $M$ must be a midpoint of $\overline{LN}$ . So, to find $LM$ , all we need to do is divide $LN$ by $2$ .

$LM=\frac{14}{2}=7\text{ units}$

Note that this problem gives us a couple of pieces of irrelevant information. We don't need to know the values of $NK$ and $KL$ .