Question

The polygons in each pair are similar. find the missing side length.​

Answer 1

Given:

The polygon in the given figure are similar.

To find:

The missing side length.​

Solution:

We know that the corresponding sides of similar figures are proportional.

The given polygons are similar, so the their corresponding sides are proportional.

`(x)/(15)=(32)/(40)=(32)/(40)`

So, the missing values in the equation of proportion are 15, 40, 32 respectively.

On solving the above equation, we get

`(x)/(15)=(4)/(5)=(4)/(5)`

`(x)/(15)=(4)/(5)`

`x=(4)/(5)* 15`

`x=12`

Therefore, the value of x is 12.