Question

Which of the following is the statement of the triangle inequality theorem?

Answer 1

B. The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

Answer 2

we know that

The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side

so

Let

a,b,c------> the length sides of a triangle

The theorem states that three conditions must be met

case 1)

$a+b > c$

case 2)

$a+c > b$

case3)

$c+b > a$

therefore

the answer is the option

B. The sum of the lengths of any two sides of a triangle is greater than the length of the third side.