Question

Triangles QPT and QRS are similar. Find x.

33

32 and one-fourth

33 and one-third

32

Answer 1

x = 33
`(1)/(3)`

Explanation:

Given that the triangles are similar then the ratios of corresponding sides are equal, that is

`(PT)/(RS)` =
`(QT)/(QS)`, substitute values

`(24)/(20)` =
`(40)/(x)` ( cross- multiply )

24x = 800 ( divide both sides by 24 )

x =
`(800)/(24)` = 33
`(1)/(3)`

Answer 2

from those are similar, the ratio of side will be 40/24=x/20 so x=33.3333 is equal 33 and one-third.