Mathematics Question and Solution
a = 7-2.5
a = 4.5 units.
b = 7+1
b = 8 units.
tanc = 4.5/8
c = atan(4.5/8)°
tand = 4.5/3
d = atan(4.5/3)°
e = 180-c-d
e = (180-atan(4.5/8)-atan(4.5/3))°
(4/sin(180-atan(4.5/8)-atan(4.5/3))) = (f/sin(atan(4.5/8)))
f = 1.9666643321 units.
g = (atan(4.5/8)+atan(4.5/3))°
(4/sin(180-atan(4.5/8)-atan(4.5/3))) = (h/sin(atan(4.5/3)))
h = 3.3377381365 units.
cos(atan(4.5/8)) = 4/j
j = 4.5893899377 units.
k = j-h
k = 1.2516518012 units.
It implies, area S (area red triangle) is;
Area triangle with height 1.2516518012 units and base 1.9666643321sin(atan(4.5/8)+atan(4.5/3)) units.
= 0.5*1.2516518012*1.9666643321sin(atan(4.5/8)+atan(4.5/3))
= 1.2272727273 square units.
= 27/22 square units.
