Math, asked by pramanickpuja545, 3 months ago

49. Show that the straight line joining the vertices of a tetrahedron to the centroids of the
opposite faces are concurrent.

Answers

Answered by cutipiebabydoll

1

Answer:

The symmetry of the result shows that this point will also lie on BG2, CG3andDG4 (where G2,G3,G4 are centroids of faces ACD, ABD and ABC, respectively). Hence, these four lines are concurrent at point →a+→b+→c+→d4 , which is called the centroid of the tetrahedron.

Step-by-step explanation:

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