Question
The measure of two sides of a triangle are 7 and 11
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GPT 3.5
To find the measure of the third side of the triangle, we can use 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.
In this case, we have two sides with lengths 7 and 11. Let's call the third side length x.
Therefore, the sum of the lengths of the two known sides must be greater than the length of the third side:
7 + 11 > x
This simplifies to:
18 > x
Therefore, the third side must have a length less than 18.
As such, there are multiple possibilities for the length of the third side. For example, it could be 8, 9, 10, 12, 13, 14, 15, 16, or 17.
In this case, we have two sides with lengths 7 and 11. Let's call the third side length x.
Therefore, the sum of the lengths of the two known sides must be greater than the length of the third side:
7 + 11 > x
This simplifies to:
18 > x
Therefore, the third side must have a length less than 18.
As such, there are multiple possibilities for the length of the third side. For example, it could be 8, 9, 10, 12, 13, 14, 15, 16, or 17.
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