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

Question

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 \( \boxed{24} \).