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 ? b+c and a ? 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
This condition states that the length of side "a" must be less than the sum of the lengths of sides "b" and "c". In other words, the longest side cannot be longer than the sum of the other two sides.

2) a > | b - c |
This condition states that the length of side "a" must be greater than the absolute difference between the lengths of sides "b" and "c". In other words, the shortest side must be longer than the absolute difference between the other two sides.

Both of these conditions, 1) and 2), must be met in order for three side lengths to create a triangle.