Question

Triangle QRS ~ Triange TUV. solve for x and y

Answer 1

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