Question

The following three points are the locations of important facilities in a transportation network: (32.22), (53, 61), and (51, 56). The coordinates are in miles

Answer 1

a Euclidean Distance

d12 = [(x1 - x2)^2 + (y1-y2)^2]^0.5

d_AB = [(32-53)^2 + (22-61)^2]^0.5 = 44.29

d_BC = [(53-51)^2 + (61-56)^2]^0.5 = 5.36

d_AC = [(32-51)^2 + (22-56)^2]^0.5 = 38.95

b. Rectilinear Distance

d12 = |x1-x2| + |y1-y2|

d_AB = |32-53| + |22-61| = 60

d_BC = |53-51| + |61-56| = 7

d_AC = |32-51| + |22-56| = 53