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It can be done for y;
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for x you've got to do some honest work.
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The honest work we will do then is to take this thing,
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take a strip here,
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with location x and width dx,
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and the height of that strip here is y;
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y of course varies with x.
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So, I'm going to argue that
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to find the center of mass of this triangle
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I can divide it into vertical
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strips which are parallel to each other,
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and find the center of mass by adding