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 from ascending
To apply 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 all integers that satisfy the inequality:
6 + 2 > x
x < 8
Therefore, the possible whole number measures of the third side are all integers less than 8. Listing them from ascending order, we have:
1, 3, 4, 5, 6, 7