Centroid Question: Proving AM=2AG using Law of Centroids and (A,2),(B,1),(C,1)

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SUMMARY

The discussion centers on proving the relationship AM=2AG using the Law of Centroids with points (A,2), (B,1), and (C,1). The user identifies M as the midpoint of segment BC and N as the centroid of points (A,2) and (B,1). The initial attempt at a solution yielded the equation 4AG=2AM+0.5MB+0.5MC, indicating a misunderstanding of the centroid's properties and the application of the Law of Centroids.

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Homework Statement



(A,2),(B,1),(C,1)

and M is the center of [BC] and N is the centroid of: (A,2) and (B,1)

Homework Equations



show that AM=2AG

The Attempt at a Solution



I used the law and i got 4AG=2AM+0.5MB +0.5MC

But what did i do wrong?
 
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mtayab1994 said:

Homework Statement



(A,2),(B,1),(C,1)
I have no idea what you mean by these ordered pairs.

What exactly is the problem you're trying to solve?
mtayab1994 said:
and M is the center of [BC] and N is the centroid of: (A,2) and (B,1)

Homework Equations



show that AM=2AG


The Attempt at a Solution



I used the law and i got 4AG=2AM+0.5MB +0.5MC
What law?
mtayab1994 said:
But what did i do wrong?
 
And what is G?
 

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