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.
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.
|1||S is the midpoint of PQ||By construction. See Perpendicular bisector of a line segment with compass and straightedge for method and proof.|
|2||RS is a median of the triangle PQR||A triangle median is a line segment linking a vertex with the midpoint of the opposite side.|
|The other two medians from Q,P are proven in a similar way|