Answer: k = 6mm
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:
![(4)/(28) = (k)/(42)](https://img.qammunity.org/2021/formulas/mathematics/college/kgu6tsyjlbmqr150vycogd95z5ysywopc7.png)
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.