Question
Apply the Triangle Inequality Theorem and determine which option could be the third side of a triangle if the first two sides measure 4 and 6.(1 point) Responses 2 2 9 9 1 1 11
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GPT 3.5
According to the Triangle Inequality 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, the first two sides measure 4 and 6.
Using the theorem, we can determine that the third side must satisfy the following inequality:
4 + 6 > third side
10 > third side
Out of the provided options, the only one that is less than 10 is 9.
Therefore, the third side of the triangle could be 9.
In this case, the first two sides measure 4 and 6.
Using the theorem, we can determine that the third side must satisfy the following inequality:
4 + 6 > third side
10 > third side
Out of the provided options, the only one that is less than 10 is 9.
Therefore, the third side of the triangle could be 9.
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