Mathematics Question and Solution
Let the square side length be 2 units.
a² = 2
a = √(2) units.
a = 1.41421356237 units.
Calculating b.
c = atan(2)°
d = (180-atan(2))°
(1/sine) = (2/sin(180-atan(2))
e = 26.56505117708°
f = 180-(180-atan(2))-26.56505117708
f = 36.86989764584 units.
g = ½(90-2*36.86989764584)
g = 8.13010235416°
Therefore, b is;
b = 2h
And;
sin8.13010235416 = h/2
h = 0.28284271247 units.
b = 2*0.28284271247
b = 0.56568542495 units.
It implies;
a : b is;
1.41421356237÷0.56568542495
= 2.5
=25/10
=5/2
= 5:2
