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.

 

Example:

In the figure shown, LN = 14 units, NK = 22 units, and KL = 34 units. If is a median of the triangle, find the length of .

 

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

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.