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slwarrior64
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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.
I figured it out but please help me with the other question I posted!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.
View attachment 10812
A centroid is the geometric center of a shape or object, where all the mass is evenly distributed.
To prove that the centroid goes through a specific point, you can use the method of finding the intersection of medians. This involves drawing the medians of the shape and showing that they all intersect at the desired point.
No, the centroid will always lie within the boundaries of the shape. This is because the centroid is calculated by finding the average of all the points in the shape, and therefore cannot be outside of it.
The centroid is an important concept in mathematics and physics, as it helps to determine the balance and stability of a shape or object. It is also used in engineering and design to find the center of mass.
Yes, the centroid of a shape can change if the shape is altered in any way, such as by adding or removing mass. However, the centroid will always remain within the boundaries of the shape.