Assignment 6: Problems

Relationship of Triangle Areas

Let's take a Triangle...

...and construct its Medians.


We can now build another triangle that has Sides which are the lengths of the Original Triangle Medians:

The Yellow triangle has sides that are the
lengths of the Original triangle Medians.

The series of pictures that follows tells a story about a relationship between the two triangles.


Can you interpret the story?

What conclusion does it reach?

Can you explain the steps to reach the conclusion?

Is the conclusion valid for all triangles constructed the way these were?