Apply the triangle inequality theorem to determine the possible whole number measures of the third side of a triangle of the first 2 sides measure 6 and 2. List them in a ascending order.
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 whole number measures of the third side by finding values that satisfy the inequality:
6 + 2 > x
8 > x
This means that the third side must be less than 8 in order to form a triangle.
Therefore, the possible whole number measures of the third side are 1, 2, 3, 4, 5, 6, and 7. Listed in ascending order:
1, 2, 3, 4, 5, 6, 7