SOLUTION: Triangle EFU is similar to triangle VWU. Find the length of UF. EU=7 WU=55 UF=? Uv=35 What is the length of UF?

Algebra ->  Length-and-distance -> SOLUTION: Triangle EFU is similar to triangle VWU. Find the length of UF. EU=7 WU=55 UF=? Uv=35 What is the length of UF?       Log On


   



Question 1150973: Triangle EFU is similar to triangle VWU. Find the length of UF.
EU=7
WU=55
UF=?
Uv=35
What is the length of UF?

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

recall: In a pair of similar triangles, corresponding sides are proportional and all three angles are congruent.


EU%2FUV=UF%2FWU
if given:
EU=7
WU=55
UV=35
we have
7%2F35=UF%2F55...simplify left side
1%2F5=UF%2F55
%281%2F5%2955=UF
UF=11