Question

1. draw your diagram and find the length indicated. point b is between a & c, find bc if ab = 8, ac = 12.

Explanation:

Step1: Recall segment addition postulate

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

Step2: Solve for \( BC \)

We know \( AB = 8 \) and \( AC = 12 \). Substitute these values into the equation: \( 8 + BC = 12 \). Subtract 8 from both sides: \( BC = 12 - 8 \).

Step3: Calculate the result

\( 12 - 8 = 4 \).

Answer:

The length of \( BC \) is \( 4 \).