Euler Line
This activity is all about investigating the different centres of a triangle.
 To find the Orthocentre we construct the perpendicular line to each edge passing through the opposite vertex.
 To find the Circumcentre we construct the perpendicular bisector of each edge of the triangle. Alternatively, we construct the circle through all three vertices and find the centre of this circle.
 To find the Centroid we find the midpoint of each edge of the triangle and join these to the opposite vertex.
 To find the Midcircle we find the midpoint of each edge of the triangle and construct th circle through all three midpoints and find the centre of this circle.
Ideas for Teachers
This activity is great done on paper, and even better done with dynmic geometry software. Start by asking students where the centre of a triangle is. The discuss the different centres and how they are found. Then set them off investigating them. They should come to the realisation that all four of these centres lie on the same line: the Euler Line.
This activity is great done on paper, and even better done with dynmic geometry software. Start by asking students where the centre of a triangle is. The discuss the different centres and how they are found. Then set them off investigating them. They should come to the realisation that all four of these centres lie on the same line: the Euler Line.
If you like the page then tweet the link using the button on the right.

If you have found interactivemaths.com a useful website, then please support it by making a donation using the button opposite.

