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 x be the measure of the third side.
According to the Triangle Inequality Theorem, we have:
3.7 + 8.2 > x
Simplifying, we get:
11.9 > x
Thus, a possible measure of the third side could be any value less than 11.9.
Out of the given options, 5.5 is a possible measure that satisfies the Triangle Inequality Theorem.
Therefore, the correct answer is:
5.5
5.5
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
4.5
3.5
3.5
5.5
5.5
4.2
4.2
1 answer