Question

1. draw your diagram and find the length indicated. point b is between a & c. ac = 21, bc = 11. find ab.

Explanation:

Step1: Recall segment addition postulate

If point \( B \) is between \( A \) and \( C \), then \( AC = AB + BC \).

Step2: Solve for \( AB \)

We know \( AC = 21 \) and \( BC = 11 \). Substitute these values into the equation \( AC = AB + BC \), we get \( 21 = AB + 11 \). To find \( AB \), subtract \( 11 \) from both sides: \( AB = 21 - 11 \).

Step3: Calculate the result

\( 21 - 11 = 10 \).

Answer:

\( AB = 10 \)