Centroid
Consider what happens with the position of the centroid when the triangle
is right, obtuse, or equilateral.
Location for right triangles:
When the triangle is right, the centroid is inside the triangle.
![](image1.gif)
Location for obtuse triangles:
When the triangle is obtuse, the intersection of the medians is inside
the triangle.
![](image5.gif)
Location for equilateral triangles:
When the triangle is equilateral, the centroid is located at the same
position as the centroid, circumcenter, and incenter.
![](image3.gif)
The location of the centroid is always inside the triangle.
The medians are also angle bisectors, altitudes and perpendicular bisectors.
Click Here to
use a GSP script of the construction of the centroid.
Return to Write-Up 4 (Centers of Triangles)
Return to Write-Up
6 (Triangles and Median Triangles)