Center of gravity of a triangle

Question

Prove that center of gravity of a triangle is at the intersection of its medians. 

I'm not interested in graphical solutions. 
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Added: 16 January 2023, 22:51
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Answer: COMPLETE PROOF of CENTER OF GRAVITY OF TRIANGLE in a NON-GRAPHICAL SOLUTION
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Added: 17 January 2023, 00:50
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Answer: Center of gravity of a triangle : intersection of its medians
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Added: 17 January 2023, 13:37
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