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Median of a Triangle

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Examples, solutions, videos, worksheets, games, and activities to help Geometry students learn how to construct the median of a triangle.

The following diagram shows the median of a triangle. Scroll down the page for more examples and solutions on the medians of triangles.

Median Triangle

Constructing a Median
A median is a line segment from the vertex to the midpoint of the opposite side in a triangle. In every type of triangle, the median will be contained within the polygon, unlike altitudes which can lie outside the triangle. When constructing a median, we first find the midpoint of the side opposite the desired vertex, then use a straightedge to connect the midpoint and the vertex.

The video describes how to construct the median of a triangle.
Using a straight edge and compass constructing a median of a triangle

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