Properties of Midsegment of a Triangle
A midsegment of a triangle is defined as a segment within a triangle that connects the midpoints of any 2 sides. In the applet below, segments DE, EF and FD are midsegments. Every triangle has 3 midsegments.
There are a couple of relationships between a midsegment and its 3rd side. In the applet below, the distance of midsegment DE and its 3rd side, AC, is given. Change the triangle by dragging points A, B or C. What relationship remains true about DE and AC?
What other properties are then true based on what we just discovered?