M -- mid - point of PQ ; PM = MQ ; MQ = PM = [tex] \frac{PQ}{2} [/tex]
N -- mid - point of MQ ; MN = NQ ; MN = NQ = [tex] \frac{MQ}{2} [/tex]
L -- mid - point of MN ; ML = LN ; ML = LN = [tex] \frac{MN}{2} [/tex]
PQ = 24
MQ = [tex] \frac{PQ}{2} = \frac{24}{2} = 12 [/tex] = PM
MN = [tex] \frac{MQ}{2} = \frac{12}{2} = 6[/tex] = NQ
ML = [tex] \frac{MN}{2} = \frac{6}{2} = 3[/tex] = LN
Hence,
LQ = LN + NQ = 3 + 6 = 9
