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A metal sheet is cut as a triangle with corners at (0, 0), (8, 0) and (4, 6). Where would it balance on a pin?

A(4, 6)
B(4, 3)
C(4, 2)
D(3, 2)
Answer & Solution
Correct answer: C. (4, 2)
A uniform sheet balances at the centroid, which is (12/3, 6/3) = (4, 2).
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