Question

in the figure below, b is between a and c, and c is between b and d. if bd = 10, ac = 12, and ad = 15, find bc. bc =

Explanation:

Step1: Use the segment - addition postulate

We know that \(AD=AB + BD\) and \(AD = 15\), \(BD=10\), so \(AB=AD - BD\).
\(AB=15 - 10=5\)

Step2: Use the segment - addition postulate again

Since \(AC = AB+BC\) and \(AC = 12\), \(AB = 5\), we can find \(BC\) by \(BC=AC - AB\).
\(BC=12 - 5 = 7\)

Answer:

7