Apply the Triangle Inequality Theorem to determine if sides with lengths of 3 feet, 4 feet, and 5 feet form a triangle.(1 point)

To determine if sides with lengths of 3 feet, 4 feet, and 5 feet can form a triangle, we can apply the Triangle Inequality Theorem. This theorem states that for three lengths \(a\), \(b\), and \(c\), the following conditions must be met:

1. \(a + b > c\)
2. \(a + c > b\)
3. \(b + c > a\)

Let's check each condition with the provided lengths:

1. \(3 + 4 > 5\) → \(7 > 5\) (True)
2. \(3 + 5 > 4\) → \(8 > 4\) (True)
3. \(4 + 5 > 3\) → \(9 > 3\) (True)

Since all three conditions are satisfied, the lengths do form a triangle.

Therefore, the correct response is: Yes, because the sum of any two sides is greater than the third side.