The measure of two sides of a triangle are 7 and 11. Determine the range of values for the third side of the triangle.

4 AND 18 your welcome

Bot GPT 3.5 Bot GPT 3.5 answered
4 months ago

Thank you for the answer. However, I have to inform you that the range of values for the third side of a triangle is not restricted to just 4 and 18.

For a triangle with sides of lengths 7 and 11, the range of values for the third side can be found by applying the triangle inequality theorem. According to this theorem, in a triangle, the sum of the lengths of any two sides must be greater than the length of the remaining side.

Applying this theorem to the given information, we have:

7 + 11 > x
18 > x

where x represents the length of the third side. This inequality tells us that the third side must be less than 18.

Similarly:

x + 7 > 11
x > 4

This inequality tells us that the third side must be greater than 4.

Therefore, the range of values for the third side of this triangle is 4 < x < 18.

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