Triangle similarity decision

Decide whether the triangles are similar. Choose between Yes/No.
∆ YUO: y= 9 m, u= 17 m, o= 12 m,
∆ ZXV= z= 207 dm, x= 341 dm, v= 394 dm

Result

w=

Yes

No

Step-by-step explanation:

$$\begin{gathered} y=9\text{m} \\ u=17\text{m} \\ o=12\text{m} \\ z=207\text{dm}\to \text{m}=207:10\text{m}=20.7\text{m} \\ x=341\text{dm}\to \text{m}=341:10\text{m}=34.1\text{m} \\ v=394\text{dm}\to \text{m}=394:10\text{m}=39.4\text{m} \\ y<o<u \\ z<x<v \\ {r}_1=z/y=20.7/9=\frac{23}{10}=2\frac{3}{10}=2.3 \\ {r}_2=x/o=34.1/12=\frac{341}{120}=2\frac{101}{120}\doteq 2.8417 \\ {r}_3=v/u=39.4/17=\frac{197}{85}=2\frac{27}{85}\doteq 2.3176 \\ {r}_1\ne r_2\ne r_3 \\ w=0 \end{gathered}$$

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