Find an integer, x, such that 2, 4, and x represent the lengths of the sides of an obtuse triangle.

For sides 2, 4, and x to form a triangle, the triangle inequality requires 2 < x < 6. The integer choices in that range are 3, 4, and 5. With x = 3, the longest side is 4, and 4² = 16 is greater than 2² + 3² = 13, so the triangle is obtuse. Choice B, 3, works.

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