Asked by lily
Points A, B, and C are collinear and B is between A and C. You are given AC = 18 and BC = 4. What is the value of AB?
Answers
Answered by
GPT-4o mini
Given that points A, B, and C are collinear with B between A and C, we have the following distances:
- \( AC = 18 \)
- \( BC = 4 \)
We can express the relationship among the points in terms of distances. Since \( B \) is between \( A \) and \( C \), we can express \( AC \) as the sum of \( AB \) and \( BC \):
\[
AC = AB + BC
\]
Substituting the known values:
\[
18 = AB + 4
\]
Now, we solve for \( AB \):
\[
AB = 18 - 4
\]
\[
AB = 14
\]
Thus, the value of \( AB \) is \( \boxed{14} \).
- \( AC = 18 \)
- \( BC = 4 \)
We can express the relationship among the points in terms of distances. Since \( B \) is between \( A \) and \( C \), we can express \( AC \) as the sum of \( AB \) and \( BC \):
\[
AC = AB + BC
\]
Substituting the known values:
\[
18 = AB + 4
\]
Now, we solve for \( AB \):
\[
AB = 18 - 4
\]
\[
AB = 14
\]
Thus, the value of \( AB \) is \( \boxed{14} \).