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Chapter 13: Q. 20 (page 1038)

Explain why the location of the centroid relates only to the geometry of the region and not its mass.

Short Answer

Expert verified

Centroid of the plane figure is defined as the point of intersection of the medians.

Step by step solution

01

Given information

The location of the centroid relates only to the geometry of the region and not it's mass.

02

Calculation

For an example, take a triangle ABCwith vertices (1,1),(2,0),and(2,3)and join them. The point of intersection of medians AD,BEand CFis G

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