The ratio between corresponding sides are the same for all pairs of corresponding sides in similar figures.
x=28
Practice makes perfect
We are asked to find the missing side length x in the figure.
Recall the related theorem which states that if two angles of a triangle are congruent to two angles of another triangle, the two triangles are similar. This happens to be the case in our example. Since the figures are similar, their corresponding sides are also similar.
In similar figures, the ratio between corresponding sides is the same.
3/21=4/x
Let's solve the equation for x.