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Let the inscribed square side be a.
tan60 = a/b
a = √(3)b cm.
Where b is BS = CR
It implies;
b+√(3)b+b = 10
(2+√(3))b = 10
b = 10(2-√(3)) cm.
Therefore;
a = √(3)*10(2-√(3))
a = 10(2√(3)-3) cm.
a...
Sir Mike Ambrose is the author of the question.
(a) Area yellow exactly in decimal cm² is;
Area triangle with height 25.2274259042 cm and base 14.5sin(½atan(20/21)) cm
= ½*25.2274259042*14.5sin(½a...
Area ABED is;
Area trapezium with parallel sides (4√(2)sin15) cm and (4+4√(2)sin15) cm, and height 4√(3) cm.
= ½*4√(3)((4√(2)sin15)+(4+4√(2)sin15))
= 2√(3)((4√(2)sin15)+(4+4√(2)sin15))
= 24 cm²...
Blue area is;
Area sector with radius 12 units and angle 30°
- Area sector with radius 6 units and angle 60° - Area triangle with height 6 units and base 6sin120 units.
= (30π*12²/360) - (60π*6²/3...
