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 (least to greatest).(9 points) Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. The measures of the third side could be Response area, Response area, or Response area.
The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than or equal to the length of the third side.
Using this theorem, we can determine the possible measures for the third side of the triangle.
For the given lengths of the first two sides (6 and 2), the sum of the lengths of any two sides must be greater than the length of the third side.
So, the possible measures for the third side could be:
- 2 + 6 = 8 (greater than 8, so this is possible)
- 6 - 2 = 4 (less than 8, so this is not possible)
Therefore, the only possible measure for the third side is 8.