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.

$\dfrac{x}{15}=\dfrac{32}{40}=\dfrac{32}{40}$

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

On solving the above equation, we get

$\dfrac{x}{15}=\dfrac{4}{5}=\dfrac{4}{5}$

$\dfrac{x}{15}=\dfrac{4}{5}$

$x=\dfrac{4}{5}\times 15$

$x=12$

Therefore, the value of x is 12.