Relation between orthocentre, circumcentre and centroid?

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What is the relation between orthocentre, circumcentre and centroid of a triangle?

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Answer 1 · 2018-05-21T16:56:32

Please refer to the Explanation.

Let, #H, O and G# be the orthocentre, circumcentre and centroid

of any triangle.

Then, these points are collinear.

Further, #G# divides the line segment #HO# from #H# in the ratio #2:1#

internally, i.e., #(HG)/(GO)=2:1#.