Question

Use the proportion of the triangle enlargement to find the missing measure of the enlarged triangle.

1. Set up the proportion: StartFraction 9 over 6 EndFraction = StartFraction x over 16 EndFraction
2. Use cross product: 9(16) = 6x
3. Simplify:
144 =
6
4. Divide:
24
= x

Answer 1

Let's go through the steps you've provided and find the missing measure \( x \) in the enlarged triangle:

1. **Set up the proportion:**
The given proportion is:
\[
\frac{9}{6} = \frac{x}{16}
\]

2. **Use the cross product:**
Cross multiplying gives us:
\[
9 \cdot 16 = 6 \cdot x
\]
Which simplifies to:
\[
144 = 6x
\]

3. **Simplify:**
The equation is already simplified:
\[
144 = 6x
\]

4. **Divide:**
To find \( x \), we divide both sides by 6:
\[
x = \frac{144}{6}
\]
Calculating that gives:
\[
x = 24
\]

Thus, the missing measure \( x \) of the enlarged triangle is \( \boxed{24} \).