### Home > CC2MN > Chapter 8 CC1: Unit 8 > Lesson CC1: 8.2.1 > Problem8-79

8-79.

Find the lengths of the missing sides on the similar shapes at right.  Homework Help ✎

Similar shapes have sides with equal ratios to each other. To find each unknown side, compare its ratio to a known side.

For example, the ratio of the $15$ mm side to the $22$ mm side should be equal to the ratio of the z side to the
$33$ mm side.

$\frac{15}{22}=\frac{\it z}{33}$

$z = 22.5 \text{ mm}$

You can now use the value of $z$ to find ratios for the other unknown sides. Write two more ratios to solve for side $x$ and side $y$.

$\frac{15}{54}=\frac{22.5}{\it y}$

$15y = \left(22.5\right) \left(54\right)$

$y = 81 \text{ mm}$
What does $x$ equal?