Assignment 4: Investigating the Medians of a Triangle Algebraically

by Teo Paoletti

Goal: To investigate the properties of the medians of a triangle algebraically.

I will start with a generic triangle in the x-y plane with one vertex at the origin, and the other 2 verticies at points (2a, 2b) and (2c, 2d).


Next, I find the midpoint of each point.


Now, we can draw the medians and label each median with a letter, k, l, and m respectively.


Our first goal is to ensure all 3 lines meet at the same point. To do this we must come up with equations for k, l, and m.




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