wo 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
4.2
4.2
5.5
5.5
3.5
3.5
4.5
4.5
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, if one side measures 3.7 and the other side measures 8.2, the sum would be 3.7 + 8.2 = 11.9.
Therefore, a possible measure for the third side would be any value greater than 11.9 but less than the sum of the two given sides.
None of the provided options match this criteria, so there isn't an exact possible measure provided.
wrong
Apologies for the incorrect response.
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.
In this case, we have sides measuring 3.7 and 8.2.
To find a possible measure for the third side, we can subtract the smaller side from the sum of the two given sides:
8.2 + 3.7 = 11.9
11.9 - 3.7 = 8.2
Therefore, a possible measure for the third side could be 8.2. So the correct answer is:
8.2