In the adjoining figure MKL - 30",
MNK - 45° if ML - 3 then find
MK and MN
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In △LKM
tan30∘=LKML⇒ML=3×31=1
cos30∘=MKLK⇒MK=cos30∘LK=233=2
NK=MK (Side opposite to equal angles )
∴NK=2
In△MKN
sin45∘=MNNK
NK=22
Perimeter of □MNKL =MN+NK+NL+ML
⇒Perimeter =22+2+3+1
=(22+
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