Two sides of a triangle measure 3.7 and 8.2. Apply the Triangle Inequality Theorem to find a possible measure of the third side
Responses
3.5
3.5
4.5
4.5
5.5
5.5
4.2
4.2
The Triangle Inequality Theorem states that the sum of any two sides of a triangle must be greater than the third side.
So, applying this theorem to the given sides, we have:
3.7 + 8.2 > s
11.9 > s
where s represents the measure of the third side.
Therefore, any value greater than 11.9 can be a possible measure of the third side.
One possible measure could be 12.