Question

TU = 3, RS = 15, TW = 4, TR = 9; Assume that the sides of triangle TUW are proportional to the sides of triangle TRS. What is the length of WS? 8 12 15 24

Answer 1

The answer is 8. Hope it helped!

Answer 2

`WS=8\ units`

Explanation:

we know that

If two triangles are similar

then

the ratio of their corresponding sides are equal and the corresponding angles are also equal

In this problem

`(TU)/(TR)=(UW)/(RS)=(TW)/(TS)`

we have

`TU=3\ units, RS=15\ units, TW=4\ units,TR=9\ units`

Find the value of TS

`(TU)/(TR)=(TW)/(TS)`

substitute

`(3)/(9)=(4)/(TS)`

`TS=36/3=12\ units`

`WS=TS-TW`

`WS=12-4=8\ units`

see the attached figure to better understand the problem