First slide
Introduction to 3-D Geometry
Question

A(0,2,3),B(2,1,5),C(3,0,3) are vertices of ABC. If a,b,c are HG, GS, SH then their increasing 

 order is (H,G,S are orthocentre, centroid and circumcentre) 

Moderate
Solution

Since Centroid G divides the orthocenter H and circumcenter S internally in the ratio 2:1, 

We have GS < HG < HS

 

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