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 could it be 3.5 4.5 or 4.2 or 5.5
According to 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.
In this case, the two known sides are 3.7 and 8.2.
Let's check each potential third side:
1. 3.7 + 8.2 > 3.5 - This is true.
2. 3.7 + 8.2 > 4.5 - This is true.
3. 3.7 + 8.2 > 4.2 - This is true.
4. 3.7 + 8.2 > 5.5 - This is true.
Therefore, all four options (3.5, 4.5, 4.2, and 5.5) could be possible measures of the third side of the triangle.