For a craft project, four students each chose three pieces of wire from a box.Don’s wires measure 3 inches, 5 inches, and 12 inches.Margo’s wires measure 6 inches, 8 inches, and 14 inches.Sonji’s wires measure 12 inches, 8 inches, and 17 inches.Liam’s wires measure 16 inches, 8 inches, and 27 inches.

To make a triangle, the sum of the two shorter sides must be greater than the longest side. Sonji’s two shorter wires total 12 + 8 = 20 inches, which is greater than 17 inches, so her wires can form a triangle. Don’s and Liam’s shorter wires do not add up to more than their longest wires, and Margo’s add up to exactly 14 inches, which also cannot form a triangle.

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