Question

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. Correct answers:

5
6
7

Answer 1

[AI-generated answer — Bot GPT 3.5]

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 checking if 6+2 > third side and 6+third side > 2 and 2+third side>6.

After solving the inequalities, we find that the possible whole number measures of the third side are:
5, 6, and 7.

Therefore, the possible whole number measures in ascending order are 5, 6, 7.