Mathematics Question and Solution
a = ½(180-150)
a = 15°
b = 90-15
b = 75°
(c/sin45) = (12/sin60)
c = 9.79795897113 cm.
(12/sin60) = (d/sin45)
d = 9.79795897113 cm.
e² = 9.79795897113²+12²-24*9.79795897113cos135
e = 20.15631110909 cm.
(12/sinf) = (20.15631110909/sin135)
f = 24.89609063899°
g = 120-24.89609063899
g = 95.10390936101°
h = 180-24.89609063899-75
h = 80.10390936101°
(9.79795897113/sin80.10390936101) = (i/sin75)
i = 9.60704430088 cm.
Therefore;
Area Shaded Region is;
0.5*9.60704430088*9.79795897113sin95.10390936101
= 46.87810125306 cm²
