PQRS is a square with the diagonals PR and SQ. Points W and X are located respectively on the sides PQ and QR such that Angle XSW = 45^{o}.

V is the midpoint of WX while T and U are respectively the points of intersection of PR with the lines WS and XS.

Determine the length of VU, given that VT = 5.

(In reply to

Analytic by Jer)

The plane geometry solution known to myself is rather cumbersome and messy.

I like your analytic geometry solution which is concise, compact and to the point.

Consequently, I confirm having hyperlinked the foregoing in my solution.

*Edited on ***March 7, 2008, 3:05 pm**