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Centroid of a thin wire bent into a triangle
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How do you locate the Centroid of a thin wire bent into a triangle?
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Well not exactly sure what you are asking but once you bend the thin wire and have a triangle there are 2 ways to find the centroid.
1. Intersection of vertex to side bisectors.
2. centroid x,y is average of x coordinates and y coordinates.
Hi,
if you have triangle with vertices A,B,C and sides a,b,c you are looking for point Barycenter[{A,B,C},{b+c,a+c,a+b}].
The point you will obtain is X(10) in Kimberling's encyclopedia of triangle centers (warning: following link may be slow to load):
http://faculty.evansville.e...
and can be hence also obtained in GeoGebra as
TriangleCenter[A,B,C,10]
Both Barycenter and TriangleCenter commands are only supported in GeoGebra 4.2 and newer.
Cheers,
Zbynek
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