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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

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.


You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.


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