Mathematics Question and Solution
a = 8+6
a = 14 units.
tanb = 6/14
b = atan(3/7)°
c = atan(7/3)°
d = 180-45-atan(7/3)
d = 68.1985905136°
tane = 2/(6+4)
e = atan(1/5)°
f = e+45
f = (45+atan(1/5))°
f = 56.309932474°
g = 180-68.1985905136-56.309932474
g = 55.4914770124°
h² = 4²+4²
h = √(32)
h = 4√(2) units.
(4√(2)/sin55.4914770124) = (j/sin56.309932474)
j = 5.7118298294 units.
Therefore, area inscribed yellow triangle is;
0.5*5.7118298294*4√(2)sin68.1985905136
= 15 square units.
Or
sin68.1985905136 = k/(4√(2))
k = 5.2522573144 units.
k is the height of the inscribed yellow triangle.
Area inscribed yellow triangle is;
0.5*5.2522573144*5.7118298294
= 15 square units.
