MHB Prove Centroid Goes Through It

Thread starter slwarrior64
Start date Nov 4, 2020
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Centroid

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The discussion centers on the necessity of proving that a line or shape must pass through its centroid. Participants express understanding of the concept but struggle with the mathematical proof required to substantiate it. One user indicates they have resolved their initial confusion but seeks assistance with a separate, related question. The conversation highlights a common challenge in geometry regarding centroids and their properties. Clarifying the proof of centroid properties remains a key focus.

Nov 4, 2020

slwarrior64

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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Nov 6, 2020

slwarrior64

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!

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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