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.

Location for obtuse triangles:
When the triangle is obtuse, the intersection of the medians is inside the triangle.

Location for equilateral triangles:
When the triangle is equilateral, the centroid is located at the same position as the centroid, circumcenter, and incenter.

The location of the centroid is always inside the triangle.

The medians are also angle bisectors, altitudes and perpendicular bisectors.

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Click Here to use a GSP script of the construction of the centroid.

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Return to Write-Up 4 (Centers of Triangles)

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Return to Write-Up 6 (Triangles and Median Triangles)

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