2 sides measure a triangle measure 3.7 and 8.2. Apply the triangle inequality theorem to find a possiable measure of the 3rd side
The options are
5.5
4.5
4.2
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.
To find a possible measure for the third side, we can add the lengths of the given sides: 3.7 + 8.2 = 11.9
Therefore, the possible measure for the third side must be less than 11.9.
Among the given options, the only value that is less than 11.9 is:
4.2
So, a possible measure for the third side could be 4.2.