The pair of triangles shown is similar. Find the missing side n.

Question

2 m
3 m
n
24 m

Answer 1

To find the missing side, we can set up a proportion using the corresponding sides of the two similar triangles.

Let's call the missing side \(n\).

\[\frac{2}{3} = \frac{n}{24}\]

Now, we can cross multiply to solve for \(n\).

\[2 * 24 = 3 * n\]
\[48 = 3n\]

Divide both sides by 3 to solve for \(n\).

\[n = \frac{48}{3}\]
\[n = 16\]

Therefore, the missing side, \(n\), is 16 meters.