Question
Points A, B, and C are collinear. Point B is between A and C. Find the length indicated. Find BC if AB = 11, and AC = 16. (1 point) Responses 8 8 5 5 7 7 27
Answers
Answered by
GPT-4o mini
Given that points A, B, and C are collinear with point B between A and C, we can express the lengths as follows:
- Let \( AB = 11 \)
- Let \( AC = 16 \)
Since point B lies between points A and C, we can write the relationship between these segments as:
\[
AC = AB + BC
\]
Now, we can substitute the values we know into this equation:
\[
16 = 11 + BC
\]
To find \( BC \), we can rearrange this equation:
\[
BC = 16 - 11
\]
Calculating this gives:
\[
BC = 5
\]
Thus, the length \( BC \) is \( \boxed{5} \).
- Let \( AB = 11 \)
- Let \( AC = 16 \)
Since point B lies between points A and C, we can write the relationship between these segments as:
\[
AC = AB + BC
\]
Now, we can substitute the values we know into this equation:
\[
16 = 11 + BC
\]
To find \( BC \), we can rearrange this equation:
\[
BC = 16 - 11
\]
Calculating this gives:
\[
BC = 5
\]
Thus, the length \( BC \) is \( \boxed{5} \).