Question
Apply the Tiangle Inequality Thereom to determine the possible whole number measures of the third side of a triangle if the first two sides measure 6 and 2 . List them in ascending order
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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.
Given that the first two sides measure 6 and 2, we can determine the possible range of values for the third side using the theorem:
1. The third side must be greater than the absolute difference between the lengths of the other two sides: |6 - 2| = |4| = 4
2. The third side must be less than the sum of the lengths of the other two sides: 6 + 2 = 8
Therefore, the possible whole number measures of the third side are 3, 4, 5, 6, and 7. Listed in ascending order, they are 3, 4, 5, 6, 7.
Given that the first two sides measure 6 and 2, we can determine the possible range of values for the third side using the theorem:
1. The third side must be greater than the absolute difference between the lengths of the other two sides: |6 - 2| = |4| = 4
2. The third side must be less than the sum of the lengths of the other two sides: 6 + 2 = 8
Therefore, the possible whole number measures of the third side are 3, 4, 5, 6, and 7. Listed in ascending order, they are 3, 4, 5, 6, 7.