Use proportions to find the missing side length ( x ) in the two similar figures.
In order to use proportions to find the missing side length (x), we need to have two similar figures with corresponding sides that are proportional.
Let's call the corresponding side lengths of the first figure a and b, and the corresponding side lengths of the second figure x and y.
The proportion can be set up as follows:
a / x = b / y
To solve for x, we can cross-multiply the proportion:
a * y = b * x
Then divide both sides by b:
x = (a * y) / b
This will give us the value of x, the missing side length, in terms of the given side lengths a, b, and y.