JEE Advanced 2013 Paper 2 Mathematics Q8

Mathematics

Problem

In a triangle

PQR

P

is the largest angle and

\cos P=1/3

. Further, the incircle of the triangle touches the sides

PQ

QR

and

RP

N

L

and

M

, respectively, such that the lengths of

PN

QL

and

RM

are consecutive even integers. Then possible length(s) of the side(s) of the triangle is(are)