Triangle PQR is equilateral with PQ = QR = RP = 2. The line QP is extended to meet at point S such that P lies between S and Q.

Y is length of the inradius of Triangle SPR while Z is the length of the exradius of Triangle SQR with respect to the side QR.

Determine Y+Z.

 

Let the sentence

"Triangle PQR is equilateral with PQ = QR = RP = 2."

be replaced by

"Triangle PQR is isosceles with QR = RP."

The answer is the altitude of triangle PQR with respect to vertex R.

 

Posted by Bractals on 2007-10-08 23:00:26