Question

It is known that ARST - AWXY. If RS =18, ST = 25, and TR=11 then which of the following is closest

to the ratio of XY to WX?
(1) 0.44
(3) 2.27
(2) 1.39
(4) 0.72

Answer 1

`XY : WX = 1.39`

Explanation:

Given

`RS = 18; ST = 25; TR = 11`

Required

Which is closest to
`XY : WX`

From the question, we understand that:
`\triangle RST` and
`\triangle WXY` are similar.

This means that, the following sides are similar:

`RS \to WX`

`ST \to XY`

`TR \to YW`

So:

`XY : WX = ST : RS`

This gives:

`XY : WX = 25 : 18`

Express as fraction

`XY : WX = (25 )/( 18)`

`XY : WX = 1.39` --- approximated