# Medians & Equal Areas!

- Author:
- Tim Brzezinski

- Topic:
- Area, Centroid or Barycenter, Median Line, Triangles

Recall

*if 2 triangles have equal bases and equal heights, they have equal areas.*Since this is so, we can*informally*conclude that**the 3 medians of any triangle split this triangle up into****6 smaller triangles of equal area.**Feel free to move the triangle's white vertices anywhere you'd like at any time. Again, this applet displays an*informal illustration*of this fact using transformational geometry techniques.*Yet how could you formally prove what this applet informally illustrates?*