Let A = (0,4) B = ( 4,4) C =(4,0) D = (0, 0)
The line segment AC lies on a line with an equation of
y = -x + 4
AC = 4sqrt (2)
The segment MB has a slope of [4 -0 ] /[ 4 - 2] = 4/2 = 2
So....this segment lies on a line with an equation of
y= 2 ( x - 2)
y = 2x - 4
The x coordinate of the intersection of these two lines is
-x + 4 = 2x - 4
8 = 3x
x = 8/3
And y = -(8/3) + 4 = 4/3
So OC = sqrt [ (4 - 8/3)^2 + (4/3)^2 ] = sqrt [ ( 4/3)^2 + (4/3)^2 ] = (4/3)sqrt (2)
And OA = AC - OC = (4 - 4/3)sqrt (2) = (8/3)sqrt (2)
So
OC (4/3) sqrt (2) 4 1
___ = ____________ = ___ = _____
OA (8/3) sqrt (2) 8 2