# Medians Centroid Theorem (Proof without Words)

- Author:
- MsBuist, Tim Brzezinski

- Topic:
- Centroid or Barycenter

1) Is it ever possible for a triangle's CENTROID to lie OUTSIDE the triangle? If so, under what circumstance(s) will this occur?

2) Is it ever possible for a triangle's CENTROID to lie ON THE TRIANGLE ITSELF? If so, under what circumstance(s) will this occur? 3) If your answer for (2) was "YES", where on the triangle did point G lie?

4) Is it ever possible for a triangle's CENTROID to lie INSIDE the triangle? If so, under what circumstance(s) will this occur?

5) Click on the four check boxes in the upper right hand corner (one after the other) to observe some pretty cool phenomena.

6) After clicking the "CHECK THIS OUT !!!" checkbox, be sure to answer the **bold question that appears in red**. Answer it in detail, trying to explain (as best you can) the phenomena you observe.