The measure of segment LO is 13 inches because I notice that diagonal LN is equal to 26 inches; so, I have to divided by two to find the measurement of segment LO.
[tex]\bar{L}\bar{O} = \bar{L}\bar{N} \div 2[/tex]
[tex]\bar{L}\bar{O} = 26 \div 2[/tex]
[tex]\bar{L}\bar{O} = 13[/tex]