Final answer:
The range of possible lengths for the third side of the triangle is x > 26 feet.
Step-by-step explanation:
To find the range of possible lengths for the third side of the triangle, we can use the triangle inequality theorem. According to this 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 given sides of the triangle measure 7 feet and 19 feet. Let x be the length of the third side.
The inequality that represents the range of possible lengths for the third side is:
7 + 19 > x
This inequality implies that the sum of the given sides must be greater than x. Therefore, the range of possible lengths for the third side is x > 26 feet.