Mathematics Question and Solution
Sir Mike Ambrose is the author of the question.
Let AC = 2 units.
Therefore;
AB = ⅖ unit.
BC = (8/5) unit.
It implies;
Area Blue is;
Area triangle with height ⅖ unit and base 2sin120 units + Area triangle with height 1 unit and base 0.4√(31)sin111.05172443535 units
= (½*⅖*2sin120) + (½*1*0.4√(31)sin111.05172443535)
= √(3)/5 + 1.03923048454
= 1.38564064606 square unit.
Area Green is;
Area triangle with height √(7) units and base 3√(21)/5 units
= ½*√(7)*3√(21)/5
= 21√(3)/10 square units.
= 3.63730669589 square units.
It implies;
Area Blue ÷ Area Green exactly in decimal is;
1.38564064606 ÷ 3.63730669589
= 0.38095238095
= 8/21 exactly in fraction.
