Question

The figures below are similar. What is v? 3 mm v 4 mm 4 mm

Answer 1

To find \( v \) in the context of similar figures, we can use the property that corresponding sides of similar figures are proportional.

Let's denote the sides of the first figure as follows:
- One side is \( 3 \, \text{mm} \),
- The second side is \( v \, \text{mm} \),
- The third side is \( 4 \, \text{mm} \).

Now, if the corresponding side of the second figure is \( 4 \, \text{mm} \), we can set up the proportion based on the similarity of figures:

\[
\frac{3}{4} = \frac{v}{4}
\]

To solve for \( v \), we can cross-multiply:

\[
3 \cdot 4 = 4 \cdot v
\]

This simplifies to:

\[
12 = 4v
\]

Now, divide both sides by \( 4 \):

\[
v = \frac{12}{4} = 3
\]

Thus, the value of \( v \) is \( 3 \, \text{mm} \).