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Two sides of a triangle have lengths 11 and 24. The length of the third side can be any number between ________

User Utopia
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Final answer:

The length of the third side can be any number less than 35.

Step-by-step explanation:

To find the range of possible lengths for the third side of the triangle, we need to consider the triangle inequality theorem. According to the theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. In this case, we have sides of lengths 11 and 24, so we can set up the inequality:

11 + 24 > x

35 > x

Therefore, the length of the third side can be any number less than 35. So, the range of possible lengths for the third side is (0, 35).

User Dalya
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