Question

The figures below are similar. What is c? 8 mm 4 mm 4 mm c

Answer 1

To determine the value of \( c \) in the context of similar figures, we can use the property that the ratios of corresponding sides in similar figures are equal.

Let's denote the sides of the first figure as:
- Side 1: \( 8 \, \text{mm} \)
- Side 2: \( 4 \, \text{mm} \)

And the sides of the second figure as:
- Side 3: \( 4 \, \text{mm} \)
- Side 4: \( c \)

Since the figures are similar, we have the following proportion:

\[
\frac{8 \, \text{mm}}{4 \, \text{mm}} = \frac{4 \, \text{mm}}{c}
\]

Now, we can simplify the left side:

\[
\frac{8}{4} = 2
\]

Thus, we have:

\[
2 = \frac{4}{c}
\]

To isolate \( c \), we can cross-multiply:

\[
2c = 4
\]

Now, divide both sides by 2:

\[
c = \frac{4}{2} = 2
\]

So, the value of \( c \) is \( 2 \, \text{mm} \).