Let the side length of the square be 2 units.
tana = 2/1
c = atan(2)°
d = 2a
d = 2atan(2)°
Calculating a.
a² = 1²+1²-2*1*1cos(2atan(2))
a = 1.788854382 units.
e = d-45
e = ((2atan(2))-45)°
Calculating b.
b² = 2-2cos((2atan(2))-90)
b = 0.632455532 units.
It implies;
a÷b
= 1.788854382÷0.632455532
= 2.8284271247
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