Complete the condition statements that must be met in order for three side lengths—a

Question

, b
, and c
—to create a triangle.(1 point)
a blank b+c and a blank b−c

Answer 1

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

1. \( a < b + c \)
2. \( a > |b - c| \)

This ensures that the sum of the lengths of any two sides must be greater than the length of the remaining side, which is known as the triangle inequality theorem.