In the picture, ∆TNM~∆KYM.
What is the length of side NM?

Answer:
missing length: 3
solving similarities:
[tex]\sf \frac{YK}{YM} = \frac{TN}{NM}[/tex]
[tex]\sf \frac{2}{1} = \frac{6}{?}[/tex]
[tex]\sf ? = \frac{6*1}{2}[/tex]
[tex]\sf ? = \frac{6}{2}[/tex]
[tex]\sf ? = 3[/tex]
NM be x
[tex]\\ \rm\hookrightarrow \dfrac{x}{6}=1/2[/tex]
[tex]\\ \rm\hookrightarrow 2x=6[/tex]
[tex]\\ \rm\hookrightarrow x=6/2[/tex]
[tex]\\ \rm\hookrightarrow x=3[/tex]