Mathematics Question and Solution
Let x the the side length of the inscribed green equilateral triangle.
Calculating area green.
a = 180-60
a = 120°
b = 45-30
b = 15°
c = 180-120-15
c = 180-135
c = 45°
d = (4+√(6)) units.
It implies;
(x/sin45) = ((4+√(6))/sin120)
x = 5.2659863237109 units.
Again, x is the side length of the inscribed green equilateral triangle.
Area green inscribed equilateral triangle is;
½(x²)sin60
= 0.5*5.2659863237109²*sin60
= 12.0077072105782 square units.
= 12 square units.
