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. Fill in the blanks
The measure of the third side could be , , or ,

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.

So, for a triangle with sides measuring 6 and 2, the possible whole number measures of the third side can be found by adding and subtracting these two values:

6 + 2 = 8
6 - 2 = 4

Therefore, the measure of the third side could be 4, 6, or 8, listed in ascending order.