Answer:
Since each length is between the difference and sum of the other two lengths, a triangle can be formed with side lengths of 4, 9, and 12.
Explanation:
Given three segment lengths, a triangle can be formed if each length is between the difference and sum of the other two lengths.
4, 9
9 - 4 = 5
9 + 4 = 13
12 is between 5 and 13
4, 12
12 - 4 = 8
12 + 4 = 16
9 is between 8 and 16
9, 12
12 - 9 = 3
12 + 9 = 21
4 is between 3 and 21
Since each length is between the difference and sum of the other two lengths, a triangle can be formed with side lengths of 4, 9, and 12.