if D (1,2),E(4,-3),F(-2,3) are the mid points of the sides of BC,CA and AB of a triangle ABC then centroid of triangle is
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You have two ways of doing this,
Here you know the points of the sides, in cases where you don't know the midpoint you find it using the section formula.
Since you know the mid points, apply it in the formula:
(x,y)= {x1+x2+x3/3} {y1+y2+y3/3}
or there is a concept, the medians of the triangle meet at a point, this point divides the median in ration 1:2.
So you can find the length of the median using the section formula and find
2/3 of it.
Here you know the points of the sides, in cases where you don't know the midpoint you find it using the section formula.
Since you know the mid points, apply it in the formula:
(x,y)= {x1+x2+x3/3} {y1+y2+y3/3}
or there is a concept, the medians of the triangle meet at a point, this point divides the median in ration 1:2.
So you can find the length of the median using the section formula and find
2/3 of it.
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