1. What is the Segment Addition Postulate?

The Segment Addition Postulate states that if point B is between points A and C, then AB + BC = AC. This fundamental principle is used throughout geometry for solving problems involving lengths of segments.

2. How Does the Calculator Work?

The calculator uses the Segment Addition Postulate:

Where:

• \( AB \) — Length of segment AB
• \( BC \) — Length of segment BC
• \( AC \) — Length of the whole segment AC

Explanation: When three points are colinear and B is between A and C, the length of the entire segment equals the sum of its parts.

3. Importance of Segment Addition

Details: This postulate is essential for solving geometric problems, proving theorems, and establishing relationships between different parts of geometric figures.

4. Using the Calculator

Tips: Enter lengths of AB and BC in any consistent units. The calculator will compute the total length AC. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: Can this be used for non-linear segments?
A: No, the Segment Addition Postulate only applies to colinear points (points that lie on a straight line).

Q2: What if point B is not between A and C?
A: The postulate doesn't apply. The relationship AB + BC = AC only holds when B is between A and C.

Q3: Can I use different units for AB and BC?
A: No, both lengths must be in the same units for the calculation to be valid.

Q4: How precise are the calculations?
A: The calculator shows results rounded to 2 decimal places, but maintains higher precision during calculations.

Q5: Can this be used for 3D geometry?
A: Yes, as long as the points are colinear in 3D space, the postulate still applies.