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

Answer:

$XY : WX = 1.39$

Step-by-step 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

$XY : WX = \frac{25 }{ 18}$

$XY : WX = 1.39$ --- approximated