Centroid of a triangle
- Author:
- Ryan Hirst
- Topic:
- Centroid or Barycenter, Vectors
For proofs on the triangle, I let
The closed path
Side be opposite vertex A
However, it is often easier to use different labels (flip the switch):
Taking A as the point of reference,
Let the
So that points to B, and points to C.
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To find the centroid of an n-sided polygon (n-gon), I just break it up into triangles:
http://www.geogebratube.org/material/show/id/93239