Math Problem Statement

B is between A and C. AB = 12, BC = 5. What is AC?

Solution

In the problem, B is situated between points A and C, and the distances AB and BC are provided:

  • AB=12AB = 12
  • BC=5BC = 5

To find the total distance AC, you can simply add AB and BC:

AC=AB+BC=12+5=17AC = AB + BC = 12 + 5 = 17

The equation reflecting this relationship is:

AC=AB+BCAC = AB + BC

So, filling in the boxes from the problem statement:

  • Equation: AC=AB+BC
  • AC value: 17

Would you like any further details on this or any related topics? Here are some follow-up questions you might consider:

  1. What happens to the length of AC if AB or BC are changed?
  2. How would you solve this if only AC and one segment (either AB or BC) were given?
  3. What if the segments were on a coordinate grid; how would you calculate the distances?
  4. Are there any real-life applications of this segment addition in geometry?
  5. Could this concept be extended to 3D geometry?

Tip: In problems involving points on a line, always visualize the points in their respective positions to better understand the relationship between them.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Geometry
Segment Addition

Formulas

AC = AB + BC

Theorems

Segment Addition Postulate

Suitable Grade Level

Grade 6-8