Final answer:
To find a range of possible lengths for the third side of a triangle given two sides, we can use the triangle inequality theorem. In this case, the range of possible lengths for the third side is any value greater than 76ft.
Step-by-step explanation:
To find a range of possible lengths for the third side of a triangle given two sides, we can use the triangle inequality theorem. According to the theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
So, in this case, we have side lengths of 24ft and 52ft. We can use the inequality 24 + 52 > x, where x is the length of the third side. Solving for x, we get x > 76ft. Therefore, the range of possible lengths for the third side is any value greater than 76ft.