Mathematics Question and Solution
Calculating Green Area - Yellow Area.
5² = 3²+a²
a = √(25-9)
a = 4 units.
tanb = 3/4
b = atan(3/4)°
c = 90-b
c = atan(4/3)°
d = 180-c-45
d = (45+atan(3/4))°
d = 81.8698976458°
tand = 3/e
e = 3/tan(81.8698976458)
e = 0.42857142857 units.
e is the base of the yellow inscribed right-angled triangle.
tand = 4/f
f = 4/tan(81.8698976458)
f = 0.57142857143 units.
is the base of the green inscribed right-angled triangle.
It implies, green area - yellow area is;
(0.5*0.57142857143*4)-(0.5*0.42857142857*3)
= 1.14285714286-0.64285714286
= ½ square units.
