Question

Find the value of y in the similar figures below.

Answer 1

same as before, use the ratio for the corresponding sides

notice 9 on the smaller one correspondes to BC on the bigger one, BC = 20.25

and 5 on the smaller one, corresponds to "y" on the bigger one
thus \(\bf \cfrac{9}{20.25}=\cfrac{5}{y}\)

solve for "y"

Answer 2

The 20.25-in. side in the left figure corresponds to the 9-in. side in the right figure.
The y-length side in the left figure corresponds to the 5-in. side in the right figure.

\( \dfrac{20.25~in.}{9~in.} = \dfrac{y}{5~in.} \)

Solve the proportion for y by cross multiplying.