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boki trójkata : x -> 6-x
tg30 = x/(6-x)
√3/3 = x/(6-x)
3x = -√3x+6√3
3x+√3x = 6√3
x(3+√3) = 6√3
x = 6√3/(3+√3)
x = 6√3(3-√3)/(3+√3)(3-√3)
x = 6√3(3-√3)/6
x = √3(3-√3) cm
sin30 = x/a
1/2 = x/a
a = 2x
a = 2√3(3-√3) cm
P = a²
P = [2√3(3-√3)]²
P = 12(9-6√3+3)
P = 12(12-6√3)
P = 144-72√3 cm²