In a \( \triangle P Q R, P \) is the largest angle and \( \cos P=\f...

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In a \( \triangle P Q R, P \) is the largest angle and \( \cos P=\frac{1}{3} \).
\( \mathrm{P} \) Further in circle of the triangle touches the sides

VV \( P Q, Q R \) and \( R P \) at \( N, L \) and \( M \) respectively, such that the lengths of \( P N, Q L \) and \( R M \) are consecutive even integers. Then, possible length(s) of the side(s) of the triangle is (are)
(2017 Main)
(a) 16
(b) 18
(c) 24
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