The condition statements that must be met in order for three side lengths a, b, and c to create a triangle are:
1. The sum of any two sides must be greater than the third side. This can be written as a + b > c, a + c > b, and b + c > a.
2. The difference between any two sides must be less than the third side. This can be written as a - b < c, a - c < b, and b - c < a.
Therefore, the correct condition statements are:
a + b > c and a + c > b and b + c > a
and
a - b < c and a - c < b and b - c < a
Complete the condition statements that must be met in order for three side lengths—a, b, and c—to create a triangle.
a b+c and a b−c
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