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Can a triangle be formed using segments with lengths 3, 5, and 7? Explain your reasoning.

1 Answer

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Final answer:

No, a triangle cannot be formed with segments of lengths 3, 5, and 7. The sum of the lengths of any two sides must be greater than the length of the third side.

Step-by-step explanation:

No, a triangle cannot be formed using segments with lengths 3, 5, and 7.

In order for a triangle to be formed, the sum of the lengths of any two sides must be greater than the length of the third side. Let's check if this is true for the given lengths:

The sum of lengths 3 and 5 is 8, which is less than 7. Therefore, it is not possible to form a triangle with these segment lengths.

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