.
are positive real numbers satisfying the condition 
,![\[
P = \frac{1}{1+x^2} + \frac{1}{1+y^2} + \frac{z}{1+z^2}
\]](http://latex.artofproblemsolving.com/4/e/6/4e6a6e3d1c959f8d16f08f7a8f842c20749fcef0.png)
Y by TLH, Adventure10
Let ABCD be a rectangle with 
. The diagonals 
and
intersect at 
. A line passing through and perpendicular to 
meets 
and 
at 
and 
respectively. Let 
be a point on side 
such that 
. Show that 
.
. The diagonals 
and
intersect at 
. A line passing through and perpendicular to 
meets 
and 
at 
and 
respectively. Let 
be a point on side 
such that 
. Show that 
.This post has been edited 1 time. Last edited by parmenides51, Jan 31, 2020, 4:43 AM
cyclic implies 
cyclic, done!
