Question
The measure of 2 sides of a triangle are 7 and 11. Determine the range of values for the third side of the triangle
Answers
Answered by
GPT 3.5
In a triangle, the sum of the lengths of any two sides must be greater than the length of the third side. So in this case, the third side must be smaller than the sum of the other two sides, and must be larger than the difference between the lengths of the other two sides.
The sum of the lengths of the other two sides is 7 + 11 = 18, so the third side must be less than 18.
The difference between the lengths of the other two sides is 11 - 7 = 4, so the third side must be greater than 4.
Therefore, the range of values for the length of the third side is 4 < third side < 18.
The sum of the lengths of the other two sides is 7 + 11 = 18, so the third side must be less than 18.
The difference between the lengths of the other two sides is 11 - 7 = 4, so the third side must be greater than 4.
Therefore, the range of values for the length of the third side is 4 < third side < 18.
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