Two squares are inscribed in a semi-circle, as shown below. Find the radius of the semi-circle.
We have this sytem
(x + y + 25) = 2r
( r - x)^2 + 15^2 = r^2
(r - y)^2 + 10^2 = r^2
Solving this system produces
r = 5sqrt (13) x = 5sqrt (13) - 10 y = 5sqrt (13) - 15
