Mathematics Question and Solution
a² = 4²+1²
a = √(17) units.
b = a-1
b = (√(17)-1) units.
b = 3.1231056256 units.
c² = (√(17)-1)²+3²
c² = 17-2√(17)+1+9
c = √(27-2√(17)) units.
c = 4.3305644838 units.
tand = (√(17)-1)/3
d = 46.1517819676°
tane = 1/4
e = 14.0362434679°
f² = 3.1231056256²+4²-2*3.1231056256*4cos14.0362434679
f = 1.2308244188 units.
(1.2308244188/sin14.0362434679) = (4/sing)
g = 52.0181217332°
h = 90-g
h = 37.9818782668°
j = 180-h-d
j = 95.8663397656°
(3/sin95.8663397656) = (k/sin37.9818782668)
k = 1.8559562074 units.
k is red length.
l = c-k
l = 4.3305644838-1.8559562074
l = 2.4746082764 units.
l is blue length.
Therefore;
Blue Length : Red Length is;
2.4746082764÷1.8559562074
= 1.3333333333
= 4/3
