2² = a²+(3a)²-2*a*3acos60
4 = 10a²-3a²
4 = 7a²
a² = 4/7
a = ⅐(2√(7)) units.
a is the side length of the big equilateral triangle.
b = 3a
b = 3*⅐(2√(7))
b = ⅐(6√(7)) units.
b is the side length of the biggest equilateral triangle.
Therefore, area blue is;
½*a*bsin60
= 0.5* ⅐(2√(7))*⅐(6√(7))sin60
= ⅐(3√(3)) square units.
= 0.742307489 square units.
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