MHB Prove Centroid Goes Through It

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I can see how it would go through the centroid, but I don't know how to prove that it HAS to go through the centroid.
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slwarrior64 said:
I can see how it would go through the centroid, but I don't know how to prove that it HAS to go through the centroid.
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I figured it out but please help me with the other question I posted!
 

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