Question

help triangles KLM and UVW are similar. Arrange the side lengths correctly on the diagram.

the numbers are

4
6    13   16   19.5 24

Answer 1

6/4=19,5/13=24/16=1,5

LK=6, UV=4
LM=19,5, VW=13
KM=24, UW=16

Answer 2

Because the triangles are similar triangles, they must have proportional corresponding sides. This means that we must have

$\frac{UW}{KM}=\frac{UV}{KL}=\frac{VW}{LM}$

Seeing your figure, suppose the largest side is $LM$, so we have

$LM=24$

Then, for you to obtain the desaired quotiens, you mus let

$VW=16; KM=19.5; UW=13; KL=6; UV=4$

And so we have

$\frac{13}{19.5}=\frac{4}{6}=\frac{16}{24}=0.66666...$