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\( M \) and \( N \) are the midpoints of sides \( \overline{R S} \) and \( \overline{R T} \) of \( \triangle R S T \), respectively. (i) Given: \[ \begin{array}{l} R M=R N=4 x+1 \\ S T=9 x-5 \\ \mathrm{~m} \angle R=60^{\circ} \end{array} \] Find: \( \quad x, R M \), and \( S T \)

on using cosine rule, cos 60' = [(4x+1)2 + (4x+1)2