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

1. anonymous

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

2. anonymous

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

3. anonymous

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

4. anonymous

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

5. campbell_st

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

6. anonymous

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

7. campbell_st

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

8. anonymous

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

9. campbell_st

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

10. anonymous

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

11. campbell_st

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