Calculating Shaded Area.
a²+10² = 12²
a = √(144-100)
a = √(44)
a = 2√(10) units.
b = 10-a
b = (10-2√(10)) units.
b = 3.67544467966 units.
cosc = 10/12
c = acos(⅚)°
d = 90-45-c
d = (45-acos(⅚))°
tan(45-acos(⅚)) = e/10
e = 2.02410864032 units.
f = 10-e
f = 10-2.02410864032
f = 7.97589135968 units.
Therefore, shaded area is;
½*d*f
= 0.5*3.67544467966*7.97589135968
= 14.6574737317 square units.
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