Math Problem Statement

If AC = 10 and BC = 4, find AB.

Solution

The question asks to find ABAB given that AC=10AC = 10 and BC=4BC = 4.

From the diagram:

  • AA, BB, and CC are collinear points.
  • AC=AB+BCAC = AB + BC.

Using this relationship, we can solve for ABAB as follows: AC=AB+BCAC = AB + BC 10=AB+410 = AB + 4 Subtract 4 from both sides: AB=104AB = 10 - 4 AB=6AB = 6

Thus, AB=6AB = 6.

Would you like more details or have any questions?

Here are 5 related questions to think about:

  1. What is the distance formula used to find the distance between two points in a plane?
  2. How do you calculate the midpoint of a line segment?
  3. What is the relationship between angles and sides in a triangle?
  4. Can you determine the length of any segment if you are given the total and one part of it?
  5. How does this concept apply in 3D geometry?

Tip: Remember that in geometry, understanding how parts relate to the whole can simplify many problems.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Basic Geometry
Segments

Formulas

AC = AB + BC

Theorems

Segment Addition Postulate

Suitable Grade Level

Grade 7-9