a = 0.5(90-60)
a = 15°
cos15 =4/b
b = 4.14110472164 cm.
Where b is the side length of the inscribed regular triangle purple area.
Purple area is;
Area triangle with height 4.14110472164 cm and base 4.14110472164sin60 cm
= 0.5*4.14110472164*4.14110472164sin60
= 7.4256258422 cm²
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