Triangle Around a Centroid
What is the Construction?
In this construction, I begin with a point that is the centroid of SOME triangle.
Knowing that the centroid divides the median in a 2:1 ratio, and that one end of the median is the midpoint of one of the sides of the triangle, I repeatedly use the
Reflect in a Point tool to find the points needed in the construction.
![Toolbar Image](/images/ggb/toolbar/mode_mirroratpoint.png)
Building a Triangle Around a Centroid
Play through the construction below!
Give the Construction a Try!
Everything is better with puppies.
![Everything is better with puppies.](https://beta.geogebra.org/resource/bMgpAAfx/sJ73ovyIHP185jAg/material-bMgpAAfx.png)
Centroids
What does Wikipedia say about the Centroid?
Is the Centroid your favorite triangle center?