Math Problem Statement

Find the length of AB given points A (26) and B (65).

Solution

To find the length of segment AB\overline{AB}, we subtract the coordinate of point A from the coordinate of point B.

Given that:

  • The coordinate of point A is 26.
  • The coordinate of point B is 65.

The length of AB\overline{AB} is:

AB=BA=6526=39AB = |B - A| = |65 - 26| = 39

Thus, the length of AB\overline{AB} is 39 units.

Would you like further details or have any questions?

Here are some related questions for deeper understanding:

  1. How do we calculate the length of a segment when the points are negative?
  2. What is the distance formula for points in a 2D plane?
  3. How would the process change if the points were given as decimals?
  4. What if the points A and B represented coordinates on a number line in the opposite direction?
  5. How do we calculate the midpoint of a segment using given coordinates?

Tip: Always use absolute values when finding the length of a segment to ensure the distance is positive.

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Math Problem Analysis

Mathematical Concepts

Geometry
Number Line
Distance Calculation

Formulas

Distance between two points on a number line: |B - A|

Theorems

Absolute Value Theorem for distance

Suitable Grade Level

Grades 6-8