Question

apply the side - splitter theorem
complete the work to find the length of hd.
use the side - splitter theorem to set up a proportion.
\\( \frac { e c } { g d } = \frac { f h } { h d } \\)
substitute in the known side lengths.
\\( \frac { 4 } { 11 } = \frac { 2 } { h d } \\)
cross - multiply and solve for hd.
hd = \\( \square \\)

Explanation:

Step1: Cross - multiply

$$
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$$

Step2: Solve for \(HD\)

$$ HD=\frac{22}{4}=\frac{11}{2} = 5.5 $$

Answer:

\(5.5\)