The segment connecting the two midpoints of the sides of a triangle is called its **midsegment **or **midline**. The midsegment of a triangle has interesting characteristics:

(1) the midsegment connecting the midpoints of the two sides of a triangle is parallel to the third side and (2) its length is also half of the third side. In this post, we prove these two theorems.

In the given above, $latex PQR$ is a triangle and $latex MN$ is a midsegment. Continue reading