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Centres of a Triangle and the Euler Line

Author:
Robin Nagy

Centres of a Triangle Investigation

In this investigation, you will follow the instructions below to discover the attributes of four well-known centres of a triangle (the incentre, circumcentre, orthocentre and centroid) and find out that three of them always form a straight line (known as the Euler line). Download the pdf which follows and follow the instructions. If you get stuck, two versions of the final Geogebra files are produced below.

Geogebra Centres of a Triangle and the Euler Line

Centres of a Triangle and the Euler Line - final Geogebra file example 1

Centres of a Triangle and the Euler Line - final Geogebra file example 2