Question

relation between orthocentre , centroid and circumcentre of a triangle

Answer 1

all the three (orthocentre , centroid and circumcentre ) lies on a straight line ... and centroid cuts the line segment joining orthocentre and circumcentre in the ratio 2:1 . (in the same order )
trick to learn :- ONGC ( an Indian oil company ) .. O is orthocentre , G is centroid and C is circumcentre ... and N stands to show the ratio in which centroid cuts .. which is 2:1 .. 2 in the side of orthocentre (or N) and 1 in the opposite side ...

Answer 2

Answer:

OG:GC = 2:1

Step-by-step explanation:

O = orthocentre

N = Nine-point centre

G = centroid

C = circumcentre

then the ratio of the distance between them
ON : NG : GC = 3 : 2 : 1

Remembered as ONGC rule with (321)
also here,

the line joining OGC is Euler's line