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

Answer:

  $WS=8\ units$

Step-by-step 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

$\frac{TU}{TR}=\frac{UW}{RS}=\frac{TW}{TS}$

we have

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

Find the value of TS

$\frac{TU}{TR}=\frac{TW}{TS}$

substitute

$\frac{3}{9}=\frac{4}{TS}$

$TS=36/3=12\ units$

$WS=TS-TW$

$WS=12-4=8\ units$

see the attached figure to better understand the problem