Question

The two triangles below are similar (but not drawn to scale). Find the value of
x
x . Round answer to the nearest tenth.



39.7 inches


25.1 inches
x
x 13.7 inches





x

=
x =
inches

Answer 1

its not 21.6

Answer 2

To find the value of \( x \) in the similar triangles, we can set up a proportion based on the corresponding sides. The triangles have the following dimensions:

- Corresponding sides: 39.7 inches and 25.1 inches correspond to \( x \) and 13.7 inches, respectively.

Setting up the proportion, we have:

\[
\frac{39.7}{25.1} = \frac{x}{13.7}
\]

Now, we can solve for \( x \). Cross-multiplying gives:

\[
39.7 \cdot 13.7 = 25.1 \cdot x
\]

Calculating the left side:

\[
39.7 \cdot 13.7 = 543.89
\]

So the equation is now:

\[
543.89 = 25.1 x
\]

Next, we solve for \( x \) by dividing both sides by 25.1:

\[
x = \frac{543.89}{25.1}
\]

Calculating that gives:

\[
x \approx 21.6
\]

So the value of \( x \) rounded to the nearest tenth is:

\[
\boxed{21.6} \text{ inches}
\]