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.

Answer 1

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