Question

Find the scale factor where the pre-image is the small triangle and the image is the large triangle.

Answer 1

The scale factor is
`(9)/(7)`

Explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

so

`(18)/(14)=(27)/(21)=(9)/(7)`

therefore

The scale factor is 9/7

Find the value of x

The value of x is equal to

`(x)/(28)=(9)/(7)`

`x=28((9)/(7))=36\ units`