Mathematics Question and Solution
Let the blue inscribed half circle's radius be a.
It implies;
Calculating a.
(4+a)² = a²+8²
16+8a+a² = a²+64
8a = 48
a = 6 units.
Again, a is the radius of the blue inscribed half circle.
b = 2a
b = 12 units.
b is the diameter of the blue inscribed half circle.
Calculating x, length EF, Observing similar plane shape (right-angled) side length ratios.
8 - (8+x)
(4+6) - (4+12+9)
Cross Multiply.
8(25) = 10(8+x)
200 = 80+10x
10x = 120
x = 12 units.
It implies;
EF = 12 units
