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Triangle QRS ~ Triange TUV. solve for x and y

Triangle QRS ~ Triange TUV. solve for x and y-example-1
User Alessandro Oliveira
by
3.0k points

1 Answer

18 votes
18 votes

Answer:

x = 20, y = 3

Explanation:

Since the triangles are similar then the ratios of corresponding sides are in proportion, that is


(TU)/(QR) =
(UV)/(RS) ( substitute values )


(x)/(4) =
(30)/(6) = 5 ( multiply both sides by 4 )

x = 20

and


(QS)/(TV) =
(RS)/(UV) ( substitute values )


(y)/(15) =
(6)/(30) ( cross- multiply )

30y = 90 ( divide both sides by 30 )

y = 3

User Riyadh
by
2.7k points