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 =
4. Divide:
= x

Answer 1

Let's complete the steps you provided to find the missing measure \( x \) of the enlarged triangle.

1. You have correctly set up the proportion: \[ \frac{9}{6} = \frac{x}{16} \]

2. Using cross products: \[ 9 \cdot 16 = 6x \]

3. Simplifying the left side: \[ 144 = 6x \]

4. Now, divide both sides by 6 to solve for \( x \): \[ x = \frac{144}{6} \]

Calculating the division: \[ x = 24 \]

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