Final answer:
The side lengths of 15ft, 12ft, and 26ft meet the conditions of the Triangle Inequality Theorem, and therefore they can form a triangle.
Step-by-step explanation:
To determine if side lengths can form a triangle, we use the Triangle Inequality Theorem, which states that the sum of the lengths of any two sides must be greater than the length of the remaining side. For the given side lengths 15ft, 12ft, and 26ft, we need to check if:
- 15ft + 12ft > 26ft
- 15ft + 26ft > 12ft
- 12ft + 26ft > 15ft
By performing these calculations, we see that:
- 15ft + 12ft = 27ft, which is greater than 26ft
- 15ft + 26ft = 41ft, which is greater than 12ft
- 12ft + 26ft = 38ft, which is greater than 15ft
Since all conditions are satisfied, side lengths of 15ft, 12ft, and 26ft can indeed form a triangle.