Complete the condition statements that must be met in order for three side lengths ---a, b, c, ----- to create a triangle.

Question

A □ b +c and a □ b-c

Answer 1

To create a triangle with side lengths a, b, and c, the following conditions must be met:

1. The sum of the lengths of any two sides must be greater than the length of the third side:
a + b > c
a + c > b
b + c > a

2. The difference between the lengths of any two sides must be less than the length of the third side:
|a - b| < c
|a - c| < b
|b - c| < a

Therefore, the conditions that must be met are:
a + b > c
a + c > b
b + c > a
|a - b| < c
|a - c| < b
|b - c| < a