Mathematics Question and Solution
a = 90+60
a = 150°
Where a is angle ADF
b² = 12²+12²-2*12*12cos150
b = 23.18221983094 cm.
Where b is AF.
c = ½(180-150)
c = 15°
Where c is angle DAF = angle DFA.
d = 90-15
d = 75°
Where d is angle FAB.
Notice;
Angle ABG is 45°
e = 180-45-75
e = 60°
Where e is angle AGB.
Calculating Length BG.
Let it be f.
(12/sin60) = (f/sin75)
f = (12sin75)/sin60
f = (2√(6)+6√(2)) cm.
f = 13.3842608598 cm.
Therefore;
BG = 13.3842608598 cm.
