Use a proportion to find the missing side length in similar figures.

There are 2 right Triangles. The 1st Triangle has 36 on the right side and 21 for the bottom. The 2nd triangle has 15 on the right side and x for the bottom.

x= 2.4 cm

x=12 cm

x = 6 cm

x= 8.75 cm

To solve for the missing side length, we can set up a proportion using the given information:

\(\frac{36}{21} = \frac{15}{x}\)

Cross multiplying, we get:

\(36x = 15 \times 21\)

\(36x = 315\)

Dividing both sides by 36, we find:

\(x = \frac{315}{36} = 8.75\) cm

Therefore, the missing side length is \(x = 8.75\) cm.