Medians of a Triangle
Geometry construction using a compass and straightedge

This page shows how to construct the medians of a triangle with compass and straightedge or ruler. A triangle has three medians. They are lines linking a vertex to the midpoint of the opposite side. We first find the midpoint, then draw the median.

Printable step-by-step instructions

The above animation is available as a printable step-by-step instruction sheet, which can be used for making handouts or when a computer is not available.

Try it yourself

Click here for a printable worksheet containing median construction problems. When you get to the page, use the browser print command to print as many as you wish. The printed output is not copyright.

Constructions pages on this site

Lines

Angles

Triangles

Right triangles

Triangle Centers

Circles, Arcs and Ellipses

Polygons

Non-Euclidean constructions

COMMON CORE

Math Open Reference now has a Common Core alignment.

See which resources are available on this site for each element of the Common Core standards.

Check it out