Question

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

Answer 1

NM be x

`\\ \rm\hookrightarrow (x)/(6)=1/2`

`\\ \rm\hookrightarrow 2x=6`

`\\ \rm\hookrightarrow x=6/2`

`\\ \rm\hookrightarrow x=3`

Answer 2

missing length: 3

solving similarities:

`\sf (YK)/(YM) = (TN)/(NM)`

`\sf (2)/(1) = (6)/(?)`

`\sf ? = (6*1)/(2)`

`\sf ? = (6)/(2)`

`\sf ? = 3`