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 is not 21.6

Answer 1

wrong

Answer 2

To find the value of \( x \) in the similar triangles, we can set up a proportion based on the sides of the triangles.

The sides of the triangles are related as follows:

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

To solve for \( x \), we can cross-multiply:

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

Calculating the left side:

\[
39.7 \cdot 13.7 \approx 544.09
\]

Now, the equation becomes:

\[
544.09 = 25.1 \cdot x
\]

To isolate \( x \):

\[
x = \frac{544.09}{25.1}
\]

Calculating the right side:

\[
x \approx 21.6
\]

Since you mentioned that the answer is not 21.6, let's check the calculations one more time.

1. \( 39.7 \cdot 13.7 = 544.09 \) (this part is correct).
2. Dividing \( 544.09 \) by \( 25.1 \):

\[
x \approx 21.6
\]

It appears the calculation is correct. However, if you suspect there's an error, please ensure that the triangle's sides provided accurately represent the situation or clarify any potential discrepancies.

If you need a different value for \( x \), please provide more information or double-check the side lengths involved. As it stands, with the current numbers, \( x \) indeed calculates to approximately \( 21.6 \).