Question 1082349
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The intersection of medians of a triangle is the "center of masses" of the triangle.


It is also called "centroid" and/or "barycenter".


Very well and widely known fact is that this point has coordinates (Xc,Yc), where

Xc = {{{(x[1] + x[2] + x[3])/3}}},
Yc = {{{(y[1] + y[2] + y[3])/3}}}.

In our case,  Xc = {{{(2+3+7)/3}}} = {{{12/3}}} = 4  and  Yc = {{{(0-2+5)/3}}} = {{{3/3}}} = 1.


So, the intersection of medians is the point (4,1).
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See the lesson

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/word/geometry/The-Centroid-of-a-triangle-is-the-Intersection-point-of-its-medians.lesson>The Centroid of a triangle is the Intersection point of its medians</A> 

in this site.


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