Given triangle
with points
and
are in the sides
and
respectively.
If
, then prove that the centroid of
lies on
.
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Given triangle $ABC$ with points $M$ and $N$ are in the sides $AB$ and $AC$ respectively.
If $\dfrac{BM}{MA} +\dfrac{CN}{NA} = 1$ , then prove that the centroid of $ABC$ lies on $MN$ .