Question 1191367: Find the value of x in each pair of similar figures.
1st picture is a triangle with W,U,V at each corner. W to U is 20m, U to V is xm, the 3rd side V to W has nothing.
2nd picture is also a triangle with Z,X,Y at each corner. Z to X is 4m, X to Y is 7m, the 3rd side is blank of has nothing written on it.
Answer by ikleyn(52790)   (Show Source):
You can put this solution on YOUR website! .
Find the value of x in each pair of similar figures.
1st picture is a triangle with W,U,V at each corner.
W to U is 20m, U to V is xm, the 3rd side V to W has nothing.
2nd picture is also a triangle with Z,X,Y at each corner.
Z to X is 4m, X to Y is 7m, the 3rd side is blank of has nothing written on it.
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This problem is very similar to another one, which I just solved for you 5 minutes ago under the link
https://www.algebra.com/algebra/homework/Triangles/Triangles.faq.question.1191368.html
The similar triangles are WUV and ZXY.
The corresponding vertices (angles) are W and Z; U and X; V and Y.
The corresponding sides are WU and ZX; WV and ZY; UV and XY.
The similarity coefficient is the ratio WU : ZX = 20 : 4 = 5.
To find the unknown side UV, you have this proportion from similarity
UV : XY = 5 : 1.
From this proportion, UV = 5*XY = 5*7 = 35 meters. ANSWER
Solved.
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