Construct the Centroid of a Triangle

High School Math based on the topics required for the Regents Exam conducted by NYSED.

What is the Centroid of a triangle?

1. A centroid is a point of concurrency of the medians.
   
2. It is the center of mass.
   
3. It divides each median into two pieces: 2/3 and 1/3.

How to construct the centroid of a triangle?

1. Given a triangle ABC.
   
2. Construct the median of AB.
   
3. Construct the median of BC.
   
4. Construct the median of AC.
   
5. The medians should be concurrent. Label the point D. Point D is the centroid of the triangle.

The following diagram shows how to construct the centroid of a triangle. Scroll down the page for more examples and solutions.

 

Constructing the Centroid of a Triangle
Using a straight edge and a compass to create the centroid or center of gravity of a triangle.

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Centroid

Construct Centroid
3 medians (from vertex to midpoint of other side) will construct a Centroid. A centroid is the center of gravity.

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Construction of a Triangle Centroid

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