Mathematics Question and Solution
Let a be 1 unit.
c² = 1²+1²-2*1*1cos120
c² = 2-2cos120
c = √(3) units.
c = 1.7320508076 units.
It implies;
1+b = c
1+b = √(3)
b = (√(3)-1) units.
b = (1.7320508076-1) units.
b = 0.7320508076 units.
Notice.
a = 1 unit is the side length of the regular hexagon.
b = (√(3)-1) units is the side length of the three congruent inscribed squares.
Therefore;
b/a is;
(√(3)-1)/1
= (√(3)-1)
= 0.7320508076
≈ 0.73 to 2 decimal places.
