Showing posts with label centroid of a triangle. Show all posts
Showing posts with label centroid of a triangle. Show all posts

Saturday, September 1, 2012

The Euler Line

In the figure below, the green, red, and violet 'points' are the orthocenter, centroid, and circumcenter of triangle ABC respectively. Move the points A, B, and C and notice what happens. Use these points to create different types of triangles. What do you observe? This is a Java Applet created using GeoGebra from www.geogebra.org - it looks like you don't have Java installed, please go to www.java.com
The blue line above is called the Euler line. The Euler line passes through the three important points determine by a non-equilateral triangle. It also passes through the center of the nine point circle.

Wednesday, April 6, 2011

Centroid of a Triangle


  1. Drag the vertices or the sides of a triangle and observe what happens. 
  2. What do you observe?


Sorry, the GeoGebra Applet could not be started. Please make sure that Java 1.4.2 (or later) is installed and active in your browser (Click here to install Java now)

The centroid of the triangle is the point where its three medians meet. The median is the segment connecting the vertex and the midpoint of the side opposite to it.

I have a tutorial  on how to locate a triangle centroid. You may want to check it out.