Mathematics Question and Solution
Calculating x.
a²+4² = 5²
a² = 25-16
a = 3 units.
Therefore;
3*(x+5) = 4*(2x-5)
3x+15 = 8x-20
5x = 35
x = 7 units.
It implies;
b = 3+x+5
And x = 7 units.
b = 3+7+5
b = 15 units.
c = 4+2x-5
And x = 7 units.
c = 4+2*7-5
c = 18-5
c = 13 units.
d = ½(c)
d = 6.5 units.
e = ½(b)
e = 7.5 units.
f = e-3
f = 4.5 units.
Calculating g, radius of the circle.
g² = d²+f²
g² = 6.5²+4.5²
g = ½(5√(10)) square units.
= 7.9056941504 units.
Or
g² = 7.5²+(6.5-4)²
g² = 7.5²+2.5²
g = ½(5√(10)) square units.
= 7.9056941504 units.
Again, g is the radius of the circle.
