Question

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

Answer 1

Answer:

missing length: 3

solving similarities:

$\sf \frac{YK}{YM} = \frac{TN}{NM}$

$\sf \frac{2}{1} = \frac{6}{?}$

$\sf ? = \frac{6*1}{2}$

$\sf ? = \frac{6}{2}$

$\sf ? = 3$

Answer 2

NM be x

$\\ \rm\hookrightarrow \dfrac{x}{6}=1/2$

$\\ \rm\hookrightarrow 2x=6$

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

$\\ \rm\hookrightarrow x=3$