data-ad-format="horizontal">



 
Midsegment of a Triangle
A line segment joining the midpoints of two sides of a triangle.
A triangle has 3 possible midsegments.
Try this Drag the orange dots on each vertex to reshape the triangle. Notice the behavior of the midsegment line.

Properties

  1. The midsegment is always parallel to the third side of the triangle. In the figure above, drag any point around and convince yourself that this is always true.
  2. The midsegment is always half the length of the third side. In the figure above, drag point A around. Notice the midsegment length never changes because the side BC never changes.
  3. A triangle has three possible midsegments, depending on which pair of sides is initially joined.

Construction

See Constructing the midsegment of a triangle with ruler and straightedge.

While you are here..

... I have a small favor to ask. Over the years we have used advertising to support the site so it can remain free for everyone. However, advertising revenue is falling and I have always hated the ads. So, would you go to Patreon and become a patron of the site? When we reach the goal I will remove all advertising from the site.

It only takes a minute and any amount would be greatly appreciated. Thank you for considering it!   – John Page

Become a patron of the site at   patreon.com/mathopenref

Other triangle topics

General

Perimeter / Area

Triangle types

Triangle centers

Congruence and Similarity

Solving triangles

Triangle quizzes and exercises