Answer:
(a)The distance between points N and P is 8 cm.
(b)The distance between points M and N is 16 cm.
Step-by-step explanation:
Given that,
Point N lies on the line segment MP.
The distance between M and P is 24 cm.
That is MP= 24 cm
The distance between points N and M is twice longer than between points N and P.
That is
MN = 2 NP.
Since the point N lies on the line segment MP.
So, MN+NP= MP.
∴2 NP + NP= 24 [∵ MP= 24 cm]
⇒3 NP= 24
⇒NP= 8
The distance between points N and P is 8 cm.
(b)
Since
MN= 2 NP
⇒MN= 2×8
⇒MN= 16 cm.
The distance between points M and N is 16 cm.