To find the missing side $x$ in these similar triangles, we can use the concept of proportionality. Since the triangles are similar, the ratios of corresponding sides will be equal.

We have the following corresponding sides for the smaller and larger triangles:

• The side 12 in the smaller triangle corresponds to the side $x$ in the larger triangle.
• The side 25 in the smaller triangle corresponds to the side 35 in the larger triangle.

Now, we can set up the proportion:

$\frac{12}{x} = \frac{25}{35}$

Let's solve for $x$:

$x = \frac{12 \times 35}{25}$

Now, I will compute this.The missing side $x$ in the larger triangle is $16.8$.

Would you like further explanation or any additional details?

Here are 5 related questions you might explore:

1. How do you know when triangles are similar?
2. What is the difference between similar and congruent figures?
3. Can you apply this proportionality concept to other geometric shapes?
4. How do you find the area of a triangle given its sides?
5. How do you determine angles in similar triangles?

Tip: In similar figures, corresponding angles are always equal, and the sides are proportional.