Triangles QVS and RTS are similar. Find side VS.
QV is 8,RT is 4 and TS is 14

Question

Triangles QVS and RTS are similar. Find side VS.
QV is 8,RT is 4 and TS is 14

anonymous · Answer

Vs should equal 14 im not completely sure but if they are similar then Vs=Ts

anonymous · Answer

they are two triangles connected, then vs has a long arrow passing v,t, and s with a x on it

anonymous · Answer

how are they connected can you be more specific or can u send me a link

anonymous · Answer

its looks like that but with the numbers that i gave you

campbell_st · Answer

well you match the corresponding sides and write them as ratios 

this means 

$$\frac{VS}{TS} = \frac{VQ}{TR}$$

using the values of the sides 

$$\frac{ x}{8} = \frac{10}{6}$$

now you can solve for x

anonymous · Answer

no QV is 8,TS is 14, and RT is 4

campbell_st · Answer

the measurements you posted in the question don't match the measurements in the diagram

anonymous · Answer

obviously thats why i said that the picture is the same but not the numbers

campbell_st · Answer

well it's the same technique

$$\frac{VS}{TS} = \frac{VQ}{RT}$$


substitute your measurements 

$$\frac{x}{14} = \frac{8}{4}$$

solve for x

anonymous · Answer

okay well i cross multiplied and got 4x=112, divided both by 4 and got x=28

campbell_st · Answer

that's what I got... 

I just looked at the right hand sides and simplified the fraction to 2/1 

so larger measurement is double the smaller

saves using algebra