Distance from centroid of an equilateral triangle to one of its corners
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let's assume each side=x
then from one corner to point which bisects opposite side=

=

so distance of centre from one corner=(2/3)×(sqrt(3)×(x/2))=x/(sqrt3)
then from one corner to point which bisects opposite side=
=
so distance of centre from one corner=(2/3)×(sqrt(3)×(x/2))=x/(sqrt3)
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The distance of the corner is

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