# Centroid is the Balance Point of a Triangle

Need to prove that the centroid is the balance point of a triangle using only GEOMETRY with no vector addition allowed and I can't use the "equal areas" argument as far as the 6 triangles that are made with the medians. Thanks much

Â© BrainMass Inc. brainmass.com March 4, 2021, 5:52 pm ad1c9bdddfhttps://brainmass.com/math/triangles/centroid-balance-point-triangle-15225

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The proof is attached below. It can also be found at

http://members.aol.com/rmp605/Geometry/pow970714.html

The basic idea is to construct the triangle from a parallelogram ...

#### Solution Summary

The expert proves that the centroid is the balance point of a triangle.

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