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)
Choose ONE answer from here:
5.5
4.5
4.2
3.5
To find a possible measure of the third side of the triangle, we can apply the Triangle Inequality Theorem.
According to the theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Therefore, we need to determine if the sum of the two given sides (3.7 and 8.2) is greater than the third side.
3.7 + 8.2 = 11.9
Now, we need to determine which of the provided answers is less than 11.9.
Among the options given, 4.5 is less than 11.9, so a possible measure of the third side could be 4.5.
Therefore, the correct answer is:
4.5