Which classification best represents a triangle with side lengths 10 in., 12 in., and 15 in.?

Compare the sum of the squares of the two shorter sides with the square of the longest side. Here, 10² + 12² = 244 and 15² = 225; since 244 > 225, the triangle is acute. The correct choice is “acute, because 10² + 12² > 15².”

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