SOLUTION: In a plot, a triangle ABC is formed with its vertex, A(2,0), B(3,-2), and C(7,5). What is the intersection of the medians?

Question 1082349: In a plot, a triangle ABC is formed with its vertex, A(2,0), B(3,-2), and C(7,5). What is the intersection of the medians?

Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
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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 = ,
Yc = .

In our case,  Xc =  =  = 4  and  Yc =  =  = 1.


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

See the lesson
- The Centroid of a triangle is the Intersection point of its medians
in this site.

This lesson contains a list of associated lessons than might be interesting for you, too.

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