Distances between resorts

This task is about working out distances.

[not drawn to scale]

 

M, N, O, P, Q are beach resorts.
The one road connecting the resorts is shown in the drawing. 
Some of the actual distances are as follows:
 
 
  • 83 km from M to P.
  • 10 km from N to O.
  • 70 km from N to Q.
  • 50 km from M to O.
 
 
Work out the actual distance between these other resorts.
 
a)
 
b)
 
c)
 
M and N. __________ km
 
O and P. __________ km
 
P and Q. __________ km