Complete the condition statements that must be met in order for three side lengths— a , b , and c —to create a triangle.(1 point)

Question

a blank b + c and a blank b - c

Answer 1

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

1) a + b > c
2) a - b < c

These two conditions ensure that the sum of the two smaller side lengths is greater than the longest side length, and the difference between the two larger side lengths is less than the remaining side length. This allows the three side lengths to form the sides of a triangle.