Mathematics Question and Solution
AD = √(12²+6²)
AD = 6√(5) cm.
Angle AMD = atan(2√(5))°
Angle EBM = (90-ata(2√(5)))°
sin(90-ata(2√(5))) = EM/9
EM = 1.96396101212 cm.
Angle CME = 180-atan(2√(5)) = 102.60438264838°
(CE)² = 9+1.96396101212²-6*1.96396101212cos102.60438264838
CE = 3.92792202425 cm.
(3.92792202425/sin102.60438264838) = (1.96396101212/sina)
a = 29.20593224736°
Where a is angle ECM.
cos29.20593224736 = 6/CF
CF = 6.87386354243 cm.
EF = CF-CE
EF = 6.87386354243-3.92792202425
EF = 2.94594151818 cm.
Therefore;
CE ÷ EF is;
3.92792202425÷2.94594151818
= 1.33333333334
= 4/3
