A(4,\ 2),\ B(6,5) and C(1,\ 4) are the ...

`A(4,\ 2),\ B(6,5)` and `C(1,\ 4)` are the vertices of ` A B C` . Find the coordinates of the points `Q` and `R` on medians `B E` and `C F` respectively such that `B Q : Q E=2:1` and `C R : R F=2:1` . What do you observe?

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Q((11)/(3),(11)/(3))`

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