Calculating Area Shaded (Area ABC).
Let AC be x.
a = 4+1
a = 5 units.
Calculating x.
x ~ 5
4 ~ x
Cross Multiply.
x² = 20
x = 2√(5) units.
Again, x is AC.
sinb = 4/x
b = asin(4/(2√(5)))°
b = asin(2/√(5))°
tanb = c/(0.5x)
tan(asin(2/√(5))) = c/√(5)
c = 2√(5) units.
c is the height of triangle ABC.
It implies, Shaded Area (Triangle ABC) is;
½*x*c
= ½*2√(5)*2√(5)
= 2*5
= 10 square units.
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