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

Answer 1

The conditions that must be met in order for three side lengths a, b, and c to create a triangle are:

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

2. The length of each side must be greater than 0:
a > 0
b > 0
c > 0

If these conditions are met, then the three side lengths can create a triangle.