Mathematics Question and Solution
Sir Mike Ambrose is the author of the question.
Let the single side length of the equilateral triangle be 6 unit.
Therefore;
Area ABC (Equilateral Triangle) is;
½(36)sin60
= 9√(3) square units.
Area Orange is;
Area triangle with two equal length 0.8660254038 units and angle 147.7957725°, the angle they form + Area triangle with two lengths ½√(13) units and 3 units, and angle 73.8978862497°, the angle they form.
= ½*0.8660254038²sin147.7957725 + ½*½(3√(13))sin73.8978862497
= 0.19985201624 + 2.59807621138
= 2.79792822762 square units.
It implies;
Area Orange ÷ Area ABC exactly in decimal is;
2.79792822762 ÷ 9√(3)
= 0.17948717949
