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.
A. 3.5
B. 5.5
C. 4.2
D. 4.5
The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Let's apply this theorem to find a possible measure of the third side:
- The first side measures 3.7.
- The second side measures 8.2.
According to the Triangle Inequality Theorem:
3.7 + 8.2 > third side
12.9 > third side
A possible measure of the third side could be any value greater than 12.9.
Among the given options, the only value that is greater than 12.9 is 13.5.
Therefore, the possible measure of the third side could be 13.5 (not one of the given options).
So, the correct answer is not among the given options.
just choose one answer that is correct
Apologies for the confusion. The correct answer from the given options is:
B. 5.5