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More Lessons for High School Regents Exam

Math Worksheets

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

**What is the Centroid of a triangle?**

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

**How to construct the centroid of a triangle?**

- Given a triangle ABC.
- Construct the median of AB.
- Construct the median of BC.
- Construct the median of AC.
- 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.

**Centroid**

**Construct Centroid**

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

**Construction of a Triangle Centroid**

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