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.(1 point)
Responses
4.5
3.5
4.2
5.5
To apply 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.
In this case, the two given sides measure 3.7 and 8.2.
Let x be the measure of the third side.
So, the sum of the lengths of the two given sides must be greater than x.
3.7 + 8.2 > x
11.9 > x
Therefore, a possible measure of the third side is any value greater than 11.9.
Among the provided options, the only value greater than 11.9 is 12.5. However, it is not included in the given options.
Therefore, none of the given options match a possible measure of the third side.