Mathematics Question and Solution
Let the side length of the regular hexagon be 1 unit.
It implies;
x+y = 1
a = ⅙*180(6-2)
a = 120°
a is the single interior angle of the regular hexagon.
b = 360-2a-45
b = 360-285
b = 75°
c² = 2-2cos120
c = √(3) units.
d = 45-30
d = 15°
e = 180-15-75
e = 90°
Calculating y.
tan75 = √(3)/y
y = 0.4641016151 units.
Calculating x.
Recall.
x+y = 1
And y = 0.4641016151 units.
x = 1-0.4641016151
x = 0.5358983849 units.
Therefore;
x : y is;
0.5358983849:0.4641016151
= 0.5358983849÷0.4641016151
= 1.1547005385
