To determine if three lengths can form a triangle, the triangle inequality theorem must be satisfied. This theorem states that the sum of the lengths of any two sides must be greater than the length of the third side. For the lengths 3, 5, and 7, the sums are 3 + 5 = 8, 3 + 7 = 10, and 5 + 7 = 12, all of which are greater than the third side. Therefore, yes, 3, 5, and 7 can indeed form a triangle.
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