Today in class me and my friend were discussing cool problems that we've done. And he asked me to.find with proof something interesting. Triangle ABC has right angle at B and we drop a perpindicular from Point B to AC say point D. Then we draw incircles inside the two triangles BDC and BDA. Let the radius of the two incircles be p and q, respectively. How would we go about finding the radius of the incircle ABC.
EDIT:In terms of P and Q