Apply the Triangle Inequality Theorem to determine if sides with lengths of 3 feet, 4 feet, and 5 feet form a triangle.(1 point) Responses No, because two out of three conditions are met. No, because two out of three conditions are met. Yes, because the sum of any two sides is greater than the third side. Yes, because the sum of any two sides is greater than the third side. No, because the sum of any two sides is less than the third side. No, because the sum of any two sides is less than the third side. Yes, because the sum of any two sides is less than the third side.

To determine if the lengths of 3 feet, 4 feet, and 5 feet can form a triangle using the Triangle Inequality Theorem, we need to check the following conditions:

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

Let’s assign:

• \( a = 3 \)
• \( b = 4 \)
• \( c = 5 \)

Now, we check each condition:

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

Since all three conditions are satisfied, we can conclude that the lengths 3 feet, 4 feet, and 5 feet do indeed form a triangle.

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