determine the taxicab perimeter and curvature of the triangl

determine the taxicab perimeter and curvature of the triangle with the following vertices

a) (0,0) (0,3) (3,4)

b) (-1,-2) (2,3) (0,6)

Solution

(a) Consider -

A (0,0) B (0,3) C (3,4)

So, perimeter = AB + BC + CA

AB = (0-0)+(3-0) = 3

BC = (3-0)+(4-3) = 3+1 = 4

CA = (3-0)+(4-0) = 3+4 = 7

Taxicab Perimeter = 3+4+7 = 14