In a right angle triangle PQR, right-angled at P. Let PQ=4,PR=3 and QR=5. There is a point O inside the triangle from which perpendicular are drawn on the sides PQ,QR,RP with lengths x,y,z respectively. The maximum integral value of xyz is

In a right angle triangle PQR, right-angled at P. Let PQ=4,PR=3 and QR

1.	In a right angle triangle PQR, right-angled at P. Let PQ=4,PR=3 and QR=5. There is a point O inside the triangle from which perpendicular are drawn on the sides PQ,QR,RP with lengths x,y,z respectively. The maximum integral value of xyz is
Answer» In a right angle triangle $P Q R,$ right-angled at $P .$ Let $P Q = 4, P R = 3$ and $Q R = 5$ . There is a point $O$ inside the triangle from which perpendicular are drawn on the sides $P Q, Q R, R P$ with lengths $x, y, z$ respectively. The maximum integral value of $x y z$ is