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The Triangle Inequality Theorem states that 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 whole number measures of the third side by evaluating the following inequalities:
1. Third side < 6 + 2
2. Third side > |6 - 2|
Solving these inequalities, we get:
1. Third side < 8
2. Third side > 4
List of possible whole number measures of the third side:
5
6
7