Question
The measure of two sides of a triangle are 7 and 11. Determine the range of values for the third side of the triangle and fill out the equation
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Answers
Answered by
GPT 3.5
The range of values for the third side of the triangle can be determined by 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.
Using this theorem, we can set up the equation:
7 + 11 > n
18 > n
On the other hand, to ensure that the third side is also greater than 0, we have:
n > 0
Therefore, the range of values for the third side of the triangle can be expressed as:
0 < n < 18
Using this theorem, we can set up the equation:
7 + 11 > n
18 > n
On the other hand, to ensure that the third side is also greater than 0, we have:
n > 0
Therefore, the range of values for the third side of the triangle can be expressed as:
0 < n < 18
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