The question asks whether three line segments of lengths $3$, $8$, and $14$ can form a triangle. To determine this, we use the Triangle Inequality Theorem, which states:

For three segments to form a triangle, the sum of any two sides must be greater than the third side. Specifically:

1. $a + b > c$
2. $a + c > b$
3. $b + c > a$

Check the conditions:

1. $3 + 8 = 11$ (which is not greater than $14$).
2. $3 + 14 = 17$ (which is greater than $8$).
3. $8 + 14 = 22$ (which is greater than $3$).

Since $3 + 8 \leq 14$, the three segments cannot form a triangle.

Answer:

B. False

Would you like further clarification or have additional questions?

Here are 5 related questions to explore:

1. What is the Triangle Inequality Theorem?
2. Can you give examples of lengths that would form a triangle?
3. How does the Triangle Inequality Theorem relate to real-world applications?
4. Can a triangle have side lengths where one is the sum of the other two?
5. What is the difference between possible and impossible triangles?

Tip: Always add the smallest two sides first to check if they are greater than the third side—it’s the quickest way to rule out a triangle!