# Construction of the Euler Line

- Author:
- Corazon Bautista

**Euler line**of a triangle is the straight line that contains the

*circumcenter*, the

*centroid*, and the

*orthocenter*of the triangle. Recall...

*circumcenter*is the point of concurrency of the perpendicular bisectors of a triangle;

*centroid*is the point of concurrency of the medians of a triangle;

*orthocenter*is the point of concurrency of the altitudes in a triangle. The applet below shows the

**Euler line**of triangle

*ABC*that contains its

*centroid, G*,

*circumcenter, J*, and

*orthocenter, I*. Drag any of the vertices of triangle

*ABC*and observe the movement of these points,

*G, J*, and

*I*, in relation to the corresponding change in the triangle. In addition, compare the distances from the centroid to the orthocenter and from the centroid to the circumcenter.