Question

The figures below are similar. What is y? 68 m 72 m y 54 m

Answer 1

To find the value of \( y \) in similar figures, we can use the properties of similar triangles. Since the triangles are similar, the ratios of corresponding sides are equal.

Based on the information you provided, let's assume that the sides are as follows:

- One triangle has sides 68 m, 72 m, and y.
- The other triangle has sides 54 m corresponding to y.

We can set up the proportion based on the corresponding sides:

\[
\frac{y}{54} = \frac{72}{68}
\]

Now, we can simplify \( \frac{72}{68} \):

\[
\frac{72}{68} = \frac{18}{17}
\]

Now we substitute this back into the proportion:

\[
\frac{y}{54} = \frac{18}{17}
\]

Next, we can cross multiply to find \( y \):

\[
17y = 54 \times 18
\]

Calculating \( 54 \times 18 \):

\[
54 \times 18 = 972
\]

Now, we have:

\[
17y = 972
\]

To find \( y \), divide both sides by 17:

\[
y = \frac{972}{17} \approx 57.1765
\]

Since we typically round to two decimal places, we can conclude:

\[
y \approx 57.18 \text{ m}
\]

So, \( y \) is approximately 57.18 m.