Apply the Triangle Inequality Theorem 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.
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.
In this case, we have two sides measuring 6 and 2. So, the third side must be such that:
6 + 2 > x
8 > x
This means that the possible whole number measures for the third side of the triangle are 1, 3, 4, 5, 6, and 7.
Listing them in ascending order: 1, 3, 4, 5, 6, 7