Education Technology

The Euler Line and Its Ratios

Published on 10/23/2008

Activity Overview

In this activity, students will explore the Euler Line of a triangle. Students will discover that the centroid, circumcenter, and orthocenter are collinear. Students will also find that if the triangle is isosceles, then the centroid, circumcenter, incenter, and orthocenter are all collinear. Students will also look at ratios involved in the Euler line.

Before the Activity

Download the attached PDF or Word document and look over the information on the first page. Distribute the Student Worksheet and attached calculator files for use during the activity.

During the Activity

Discuss the material from the activity pages with students as needed.

After the Activity

Encourage students to summarize what they have learned from completing the activity.