T is the orthocenter of a triangle PQR and T is located within the triangle. S is the midpoint of the side QR and Angle QPR = 30^o.

The line TS is extended to the point U such that S lies between T and U satisfying TS = SU.

Determine the length of PU given that QR = 1

(In reply to Solution by Bractals)

Geometry is not my specialty so I can not say your final answer is correct or not, yet I believe the fixed angle of QPR is given as 30 degrees and not 15 degrees as you indicated in your first paragraph. 

Posted by Dej Mar on 2007-11-06 14:22:13