Segment Addition Postulate Calculator

Segment Addition Postulate Calculator

Use AB + BC = AC to solve for the missing segment length.

Last updated: June 2026 | By Patchworkr Team

Solved Length

Enter AB and BC as real numbers.

What is the Postulate?

If point B lies between A and C, then the lengths satisfy AB + BC = AC.

AB + BC = AC

The relationship only applies when the three points are collinear and B is between A and C.

How to Use

1. Choose which segment you want to solve for.

2. Enter the two known lengths.

3. Read the live result and confirm the segment addition relationship.

Worked Example

If AB = 7 and BC = 5, then AC = 12.

AB + BC = AC -> 7 + 5 = 12

The calculator should show 12 when solving for AC.

FAQ

Can I solve for any one segment?

Yes, as long as the other two are known.

Does the order matter?

Yes. The point B must lie between A and C.

Can lengths be negative?

No. Segment lengths should be non-negative.

What if the points are not collinear?

Then the postulate does not apply.

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