Two sides of the triangle measure 3.7 and 8.2 apply the triangle inequality THEORE M to find it possible measure of the third side
4.2
Five point
3.5
4.5
To determine if a triangle can be formed with sides measuring 3.7, 8.2, and x:
1. The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Let's calculate:
1. 3.7 + 8.2 > x
12.9 > x
2. 3.7 + x > 8.2
x > 4.5
3. 8.2 + x > 3.7
x > -4.5 (This is not possible as the length of a side cannot be negative)
Thus, the possible measure of the third side (x) should be greater than 4.5. Therefore, the correct answer is 4.5.