﻿ Centroid of A Triangle, ratios formed explained with examples and pictures

# Centroid of A Triangle

Defined with examples and pictures

### Definitionof the Centroid of a Triangle

The Centroid is a point of concurrency of the triangle. It is the point where all 3 medians intersect and is often described as the triangle's center of gravity or as the barycent.

Properties of the Centroid
Picture of Centroid of an Acute Triangle
Picture of Centroid of an Obtuse Triangle

Pictures of the 2:1 ratios formed by centroid and medians

### Practice Problems

To solve tis problem, just remember that the centroid divides each median in a 2 : 1 ratio. Therefore, we can use this ratio to solve for the length of AB as follows:

To solve tis problem, just remember that the centroid divides each median in a 2 : 1 ratio. Therefore, we can use this ratio to solve for the length of AB as follows:

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Free Algebra Solver ... type anything in there!
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