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Show that the centroid G of a triangle divides the join of orthocentre H and the circumcentre C in the ratio 2:1

Show that the centroid G of a triangle divides the join of orthocentre H and the circumcentre C in the ratio 2:1

Grade:12

1 Answers

SAGAR SINGH - IIT DELHI
879 Points
10 years ago

Dear student,

The valence-bond approach considers the overlap of the atomic orbitals (AO) of the participation atoms to form a chemical bond. Due to the overlapping, electrons are localized in the bond region.

The overlapping AOs can be of different types, for example, a sigma bond may be formed by the overlapping the following AOs.

 

Chemical bonds formed due to overlap of atomic orbitals
s-s s-p s-d p-p p-d d-d
H-H
Li-H
H-C
H-N
H-F
H-Pd in
palladium
hydride
C-C
P-P
S-S
F-S
in SF6
Fe-Fe

 

However, the atomic orbitals for bonding may not be "pure" atomic orbitals directly from the solution of the Schrodinger Equation. Often, the bonding atomic orbitals have a character of several possible types of orbitals. The methods to get an AO with the proper character for the bonding is called hybridization. The resulting atomic orbitals are called hybridized atomic orbitals or simply hybrid orbitals.

 

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All the best.

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Askiitians Expert

Sagar Singh

B.Tech, IIT Delhi

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