Question

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



39.1 inches


20.9 inches
x
x 15.2 inches





x

=
x =
inches

Answer 1

wrong

Answer 2

Since the triangles are similar, the ratios of their corresponding sides are equal. We can set up a proportion to find the value of \( x \).

The corresponding sides from the triangles can be written as:

\[
\frac{39.1}{20.9} = \frac{15.2}{x}
\]

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

\[
39.1 \cdot x = 20.9 \cdot 15.2
\]

Now, calculate \( 20.9 \cdot 15.2 \):

\[
20.9 \cdot 15.2 = 317.88
\]

Now, we can write the equation as follows:

\[
39.1x = 317.88
\]

Next, divide both sides by 39.1 to isolate \( x \):

\[
x = \frac{317.88}{39.1}
\]

Now perform the division:

\[
x \approx 8.12
\]

Finally, rounding to the nearest tenth:

\[
x \approx 8.1
\]

So, the value of \( x \) is approximately **8.1 inches**.