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.(2 points)
The measure of the third side could be
blank, blank, or blank.
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 lengths of the first two sides are 6 and 2, we can determine the possible lengths of the third side by applying the Triangle Inequality Theorem.
For the third side to be the longest side, it must satisfy the inequality: 6 + 2 > third side length
This simplifies to: 8 > third side length
So, the possible whole number measures of the third side are numbers less than 8. In ascending order, they are:
1, 2, 3, 4, 5, 6, 7.