Question

Find ywrite your answer as a whole number or decimal. do not round

Answer 1

From the figure, we can say:

$\Delta\text{HGI\textasciitilde}\Delta\text{HFJ}$

Since both the triangles are similar, their sides are proportional.

We can write a proportional ratio:

$\frac{3}{6}=\frac{y}{8}$

We can cross multiply and solve for y:

$\begin{gathered} \frac{3}{6}=\frac{y}{8} \\ 6y=3\times8 \\ 6y=24 \\ y=\frac{24}{6} \\ y=4 \end{gathered}$