Question

triangle abc is similar to triangle def. the following ratios of corresponding sides are equal.
$\frac{8}{12}=\frac{16}{24}=\frac{2x + 5}{2x + 11}$
$x=\frac{7}{2}$
(type an integer or a simplified fraction.)
side ac =
(type an integer or decimal rounded to the nearest tenth.)

Explanation:

Step1: Substitute x value

We know \(x = \frac{7}{2}\), and side \(AC=2x + 5\).

Step2: Calculate side AC

Substitute \(x=\frac{7}{2}\) into \(2x + 5\), we get \(2\times\frac{7}{2}+5\). First, \(2\times\frac{7}{2}=7\), then \(7 + 5=12\).

Answer:

12