Centroid of a thin wire bent into a triangle

jonbenedick shared this question 8 years ago
Answered

How do you locate the Centroid of a thin wire bent into a triangle?

Comments (2)

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1

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.

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1

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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