To determine if three side lengths \( a \), \( b \), and \( c \) can form a triangle, they must satisfy the triangle inequality conditions. These conditions can be stated as follows:
- \( a + b > c \)
- \( a + c > b \)
- \( b + c > a \)
For the specific statements you're trying to complete, they would be:
- \( a + b > c \) (This means that the sum of sides \( a \) and \( b \) must be greater than side \( c \)).
- \( a + c > b \) (This means that the sum of sides \( a \) and \( c \) must be greater than side \( b \)).
So, completing the provided statements:
- \( a + b > c \)
- \( a + c > b \)
If you need to fill in blanks:
- \( a > b - c \) (which comes from rearranging the second inequality)
- \( a < b + c \) (which comes from rearranging the first inequality)
Please clarify if there's any specific format you're looking for!