In triangle PQR, the respective length of the sides PQ and PR are denoted by u and v while the length of the median PS is denoted by w. It is known that w is the geometric mean of u and v, and Angle QPR = 60^o.

Determine |cos(Angle PQR) - cos(Angle QRP)|, where |x| denotes the absolute value of x.

In Geometer's Sketchpad it comes out to ~ 1.06066

Posted by Charlie on 2007-12-21 12:41:11