Question 48

In a triangle PQR, P is the largest angle and $$\cos P = \frac{1}{3}$$. Further the incircle of the triangle touches the sides PQ, QR and RP at 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)

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