Determine if 7, 8, and 13 can be the lengths of the sides of a triangle. If yes, classify the triangle.

The side lengths can form a triangle because the sum of the two shorter sides is greater than the longest side: 7 + 8 = 15 > 13. To classify it, compare the square of the longest side with the sum of the squares of the other sides: 13² = 169, while 7² + 8² = 113. Since 169 > 113, the triangle is obtuse, so the correct choice is “Yes, it is an obtuse triangle.”

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