Two sides of a triangle measures 3.7 and 8.2. Apply the triangle Inequality Theorem to find a possible measure of the third side.
A. 4.5
B. 5.5
C. 3.5
D. 4.2
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.
Let's consider side A with a length of 3.7 and side B with a length of 8.2. Let x be the length of the third side.
According to the Triangle Inequality Theorem, we have:
3.7 + 8.2 > x
11.9 > x
Therefore, a possible measure for the third side, x, would be any value less than 11.9.
Among the answer options, the only value less than 11.9 is 4.2, so the correct answer is D. 4.2.