a² = (2+1)²+2²
a² = 9+4
a = √(13) units.
Where a is blue length + red length.
b² = 1+2²
b = √(5) units.
tanc = 2/3
c = atan(2/3)°
tand = 2/1
d = atan(2)°
e = 90-d
e = 90-atan(2)
e = atan(½)°
f = 180-e-c
f = 180-atan(½)-atan(2/3)
f = 119.7448812969°
(2/sin119.7448812969) = (g/sin(atan(2/3)))
g = 1.27775313 units.
h² = 1.27775313²+√(5)²
h = 2.5753937682 units.
Where h is blue length.
Therefore;
Length red is;
√(13)-2.5753937682
= 1.0301575073 units.
It implies;
Length blue : Length red is;
2.5753937682 : 1.0301575073
= 2.5753937682÷1.0301575073
= 2.5
= 25/10
= 5/2
= 5:2
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