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

Use the converse of the Pythagorean theorem with the longest side, 15 inches. Since 10² + 12² = 100 + 144 = 244, and 15² = 225, the sum of the shorter sides’ squares is greater than the longest side’s square. Therefore, the triangle is acute, so the correct choice is “acute, because 10 squared plus 12 squared is greater than 15 squared.”

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