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 Toolbar Image Reflect in a Point tool to find the points needed in the construction.

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.

What does Wikipedia say about the Centroid?

Is the Centroid your favorite triangle center?

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