Chapter 8.2, Problem 37E

To determine

Whether it is possible to show $FB>CB$ or $AC>DB$ .

Answer to Problem 37E

Yes.

Explanation of Solution

Given:

The given diagram is:

Calculation:

D, F and C points lie in between the segment AB.

The Segment addition postulate states that,

  $FB=FC+CB$

Since $FC>0,$

  $FB=\text{ something positive + CB}$

Hence, $FB>CB$

Whereas, $AC>DB$ is not necessarily true because the segment addition postulate cannot be used in this case due to lack of information.