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

`(UW)/(KM)=(UV)/(KL)=(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

`(13)/(19.5)=(4)/(6)=(16)/(24)=0.66666...`