Mathematics Question and Solution
Let a be 1 units.
a is the side length of the regular hexagon.
Calculating b.
c = 120-90
c = 30°
120° is the single interior angle of the regular hexagon.
cos30 = 1/d
d = 2/√(3)
d = ⅓(2√(3)) units.
d = 1.1547005384 units.
e² = 2-2cos120
e = √(3) units.
e = 1.7320508076 units.
f = 90-(½(180-120))
f = 90-30
f = 60°
Length b is;
b² = 1.7320508076²+1.1547005384²-2*1.7320508076*1.1547005384cos60
b = 1.5275252317 units.
Therefore;
a/ b is;
1/1.5275252317
= 0.6546536707 exactly in decimal.
