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What is a possible third side to a triangle with side lengths of 5 and 5

User Grouchal
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Final answer:

The possible length for the third side of a triangle with two sides of length 5 must be greater than 0 and less than 10, as determined by the Triangle Inequality Theorem.

Step-by-step explanation:

The student is asking about a possible third side of a triangle with two sides of length 5. To answer this, we will apply 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. Therefore, any third side length must be less than 10 (5 + 5) but also greater than 0, because if it were 10 or more it wouldn't form a triangle but a straight line. However, since the smallest possible non-zero length a side can have is just above 0, we can say the third side must be greater than 0 and less than 10.

User AdrienXL
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