Mathematics Question and Solution
a² = 2(3+2√(3))²-2(3+2√(3))²cos120
a = 11.1961524227 units.
b = a-(3+2√(3))
b = 4.7320508076 units.
tan30 = c/(0.5(3+2√(3)))
c = 1.8660254038 units.
cos30 = (0.5(3+2√(3)))/d
d = 3.7320508076 units.
e = (3+2√(3))-d
e = 2.7320508076 units.
tan60 = f/2.7320508076
f = 4.7320508076 units.
g² = 4.7320508076²+4.7320508076²
g = 6.6921304299 units.
h² = 6.6921304299²-(2+2√(3))²
h = 1.7320508076 units.
h = √(3) units.
j = (3+2√(3))-2√(3)
j = 3 units.
It implies, area yellow is;
Area triangle with height 3 units and base 3sin60 units.
= ½*3*3sin60
= ¼(9√(3)) square units.
