The incircle of the triangle PQR touches its sides QR, RP and PQ respectively at the points S, T and U. It is known that the respective lengths of QS, RT and PU (in that order) are consecutive integers and the length of the inradius of of the triangle PQR is 4 units.

Determine the respective lengths of each of the sides PQ, QR and RP of the triangle.

(In reply to a solution by Dennis)

Thanks, Dennis.

I have hyperlinked your methodology in my solution.

Posted by K Sengupta on 2008-03-10 15:04:03