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## Homework Statement

Hello. In class we learned how to calculate centroids of a triangle. For the y-coordinate we use the formula height/3 and for the x we use 2/3 * base

## Homework Equations

In the diagram, If I want to calculate the y coordinate , I do 72 (which is the proposed height)/ 3 ; only to get y=24 which is incorrect.

It turns out that to find the y-coordinate in this case we must do 2/3*height. Why is that so? This is really confusing.

Why did the formulas to calculating 'y' and 'x' values switch?

Thank you for your time.