Question

complete the work to find the length of \\( \overline{hd} \\).
use the side - splitter theorem to set up a proportion
\\( \frac{eg}{gd}=\frac{fh}{hd} \\)
substitute in the known side lengths
\\( \frac{4}{11}=\frac{2}{hd} \\)
cross - multiply and solve for \\( hd \\)
\\( hd=\square \\)

Explanation:

Step1: Cross-multiply the proportion

$4 \times HD = 11 \times 2$

Step2: Calculate the right-hand side

$4 \times HD = 22$

Step3: Solve for HD

$HD = \frac{22}{4} = 5.5$

Answer:

5.5