A) Complete the condition statements that must be met in order for three side lengths — a,
6, and
c-to create a triangle.
In order for three side lengths a, 6, and c to create a triangle, the following conditions must be met:
1) The sum of the lengths of any two sides of the triangle must be greater than the length of the third side. This condition can be expressed as:
a + 6 > c
a + c > 6
6 + c > a
2) Each side length must be greater than 0. This condition implies:
a > 0
6 > 0
c > 0