To determine if the three given segments can form a triangle, we can apply the Triangle Inequality Theorem. This theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the remaining side.

We are given:

• Segment AC = 6
• Segment CB = 5
• Segment AB = 8

Applying the Triangle Inequality Theorem:

1. $AC + CB > AB$

   • $6 + 5 > 8$ → $11 > 8$ ✓

2. $AC + AB > CB$

   • $6 + 8 > 5$ → $14 > 5$ ✓

3. $CB + AB > AC$

   • $5 + 8 > 6$ → $13 > 6$ ✓

Since all three conditions are satisfied, the segments can form a triangle.

The correct answer is A. True.

Would you like more details on the theorem or any other explanation?

Here are five related questions you might be interested in:

1. What happens if the triangle inequality is not satisfied for any set of sides?
2. How does the triangle inequality apply to right triangles or obtuse triangles?
3. Can you determine the type of triangle based on the side lengths alone?
4. What are other common inequalities used in triangle geometry?
5. How do you calculate the area of a triangle using side lengths?

Tip: Always verify all three conditions of the triangle inequality to ensure a set of sides can form a valid triangle.