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

Question

3 m
5 m
n
35 m

Answer 1

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

Let the larger triangle have sides a, b, and c, and the smaller triangle have sides x, y, and z.

We have the following proportions:

a/x = b/y = c/z

We are given:
a = 35 m (larger triangle)
x = 3 m (smaller triangle)
y = 5 m (smaller triangle)

Now we can set up the proportion using the first and second sides of the triangles:

35/3 = n/5

Cross multiply to solve for n:
35*5 = 3*n
175 = 3n
n = 175/3
n = 58.33 m

Therefore, the missing side n is approximately 58.33 meters.