Centres of a Triangle and the Euler Line
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.