Complete the condition statements that must be in order for three sides a,b, and c to create a triangle

1 answer

The condition statements that must be in order for three sides 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 third side. This can be written as:
a + b > c
b + c > a
a + c > b

2. The length of each side of the triangle must be greater than zero. This can be written as:
a > 0
b > 0
c > 0

If both of these condition statements are satisfied, then the three sides a, b, and c can create a triangle.