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Triangle Centres

World of Mathematics

What is Triangle Centers?

This is a learning page about triangle centers, which are points in the plane of a triangle that are located in the middle of the triangle in some way

Triangle centre_edited.jpg

Centroid ->

The centroid is the point where the three medians of a triangle intersect. It is often referred to as the "center of mass" of the triangle.

Centroid.png

Orthocentre ->

The orthocenter is the point where the three altitudes of a triangle intersect. It can be outside, inside, or on the triangle itself.

Orthocentre.png
Circumcentre.png

<- Circumcentre

The point where the perpendicular bisectors of a triangle's sides intersect. It is the center of the circumcircle that passes through all three vertices of the triangle.

Incentre.png

<- Incentre

The incenter is the point where the three angle bisectors of a triangle intersect. It is equidistant from the three sides of the triangle.

Review

Four Centers

Review & Collinearity

Practice

Plane

Coordinate

DSE & Quiz

Plane Geometrical

Questions

Past Paper Question

&

Triangle Centers Quiz

Coordinate Geometrical

Question

Capstone Project:

Learning Package for Triangle Centers
-5E instructional model

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