Pearson Geometry Common Core, 2011
PG
Pearson Geometry Common Core, 2011 View details
Cumulative Standards Review

Exercise 13 Page 540

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.
3/21=4/x
3/21x=4
3x=84
x=28