Question

in the figure below, b is between a and c, and c is between b and d. if ac = 9, ad = 16, and bd = 13, find bc.

bc =

Explanation:

Step1: Find the length of \(CD\)

Since \(AD = AC+CD\), and \(AD = 16\), \(AC = 9\), then \(CD=AD - AC\).
\(CD=16 - 9=7\)

Step2: Find the length of \(BC\)

Since \(BD=BC + CD\), and \(BD = 13\), \(CD = 7\), then \(BC=BD - CD\).
\(BC=13 - 7 = 6\)

Answer:

\(6\)