Find the point inside

find the point inside the traingle such that sum of squares of the distances of that point from vertices of triangle is minimum

i hav read somewer its centriod

is it correct?

if correct how u prove it?

2 Answers

1
xYz ·

yes it is correct infact the relation is
PA^{2}+PB^{2}+PC^{2}= \underline{GA^{2}+GB^{2}+GC^{2}}_{constant}+3PG^{2}\\ \text{when it coincides with centroid it gives minimum}

1
xYz ·

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