Question
Which set of side lengths does not form a triangle? All lengths are given in inches.(1 point) Responses
Answers
GPT-4o mini
To determine which set of side lengths does not form a triangle, you can use the Triangle Inequality Theorem. This theorem states that for any three sides \( a \), \( b \), and \( c \) of a triangle, the following conditions must hold:
1. \( a + b > c \)
2. \( a + c > b \)
3. \( b + c > a \)
If any one of these conditions fails, the lengths cannot form a triangle.
If you provide specific sets of side lengths, I can help you identify which one does not satisfy the criteria.
1. \( a + b > c \)
2. \( a + c > b \)
3. \( b + c > a \)
If any one of these conditions fails, the lengths cannot form a triangle.
If you provide specific sets of side lengths, I can help you identify which one does not satisfy the criteria.