Question

M is the midpoint of pq, n is the midpoint of mq, and l is the midpoint of mn. if pq = 24, find lq

Answer 1

M -- mid - point of PQ ; PM = MQ ; MQ = PM =
`(PQ)/(2)`

N -- mid - point of MQ ; MN = NQ ; MN = NQ =
`(MQ)/(2)`

L -- mid - point of MN ; ML = LN ; ML = LN =
`(MN)/(2)`

PQ = 24

MQ =
`(PQ)/(2) = (24)/(2) = 12` = PM

MN =
`(MQ)/(2) = (12)/(2) = 6` = NQ

ML =
`(MN)/(2) = (6)/(2) = 3` = LN

Hence,

LQ = LN + NQ = 3 + 6 = 9