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 4.2 4.2 5.5 5.5 3.5
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.
In this case, the two sides measure 3.7 and 8.2. Let's find the range for the possible measure of the third side:
3.7 + 8.2 > x
12.9 > x
So the third side must be less than 12.9 in order for it to form a triangle. The closest option is 4.2, as it falls within the acceptable range. Therefore, a possible measure of the third side could be 4.2.