As ABC is similar to LMN
AC AB The ratio remain same if we divide numerator and
---- = ------ denominator by same number
LN LM
AC AB/2 AD
---- = ------------- - ---------
LN LM/2 LO
Let us now work on Triangle ADC and LON
Because Ratio of AC to AD is same Ad to LO these two triangle are also similar hence Ratio of third side DC to No would be also same .
Hence A C/ LM = DC/ NO
16 /9 = x/ 5
x= 16 * 5/9
x= 80/9
That is the answer .