If O is the orthocentre of the triangle ABC, prove that A, B, C are the orthocentres of the triangle OBC, OAC, OAB respectively.
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Answer:
we know that
HG=2GO where G is centroid of triangle
let a point D, between B and C
OD=(OB+OC)/2
OA+OB+OC=OA+2OD
we know that G divide The point A and midpoint
opposite side in ratio 2 :1
OG=
3
OA+2OD
OA+OB+OC=30G=20G+OG
=HG+OG
OA+OB+OC=HO
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Answer:
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