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 =
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 \( \mathbf{24} \).