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.



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


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

LM= 14 2 =7 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 .