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.
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