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What is the smallest possible length for the third side of the triangle given the two sides 10 and 5?

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This is a problem of the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Using this theorem, we can conclude that the smallest possible length for the third side of the triangle given the two sides 10 and 5 is 6.

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