Let the side length of the regular pentagon be 1 unit.
c² = 2-2cos108
c = 1.61803398875 units.
(d/sin36) = (1/sin108)
d = 0.61803398875 units.
e = c-d
e = 1 unit.
Calculating a.
sin72 = a/1
a = 0.9510565163 units.
Calculating b.
sin72 = b/0.61803398875
b = 0.58778525229 units.
It implies;
(a/b)-(b/a)
= (0.9510565163/0.58778525229)-(0.58778525229/0.9510565163)
= 1
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