Question

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

b+c
and a

b−c

Answer 1

To determine whether three side lengths \( a \), \( b \), and \( c \) can create a triangle, they must satisfy the Triangle Inequality Theorem. The conditions that must be met are:

1. \( a < b + c \)
2. \( b < a + c \)
3. \( c < a + b \)

In your provided statements, it looks like you've written part of the inequalities but need to complete a couple of conditions:

The complete conditions are:

1. \( a < b + c \)
2. \( b < a + c \)
3. \( c < a + b \)

These ensure that each side length is less than the sum of the other two sides, allowing the lengths to form a triangle.