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.