Respuesta :

Answer:

k = 6

Step-by-step explanation:

Since the figures are similar, we can use ratios to solve

4         28

----- = -------

k         42

Using cross products

4 * 42 = 28k

Divide each side by 28

4*42/28 = 28k/28

6 = k

Answer: k = 6mm

Step-by-step explanation:

The shapes are similar, which means that each side on the triangle is proportionally similar to its corresponding side on the other triangle.

We can use proportions to solve for k:

[tex]\frac{4}{28} = \frac{k}{42}[/tex]

4 and k are proportionally similar and 28 and 42 are proportionally similar.

You can then cross-multiply to get this:

28k = 168

k = 6

The missing side is 6 mm long.