Question

defg ~ jkhi. find hk.
hk =

Explanation:

Step1: Use the property of similar polygons

Since \(DEFG\sim JKHI\), the ratios of corresponding sides are equal.
\(\frac{EF}{IH}=\frac{ED}{IK}\)

Step2: Identify corresponding sides

\(EF = 50\), \(IH = 3\), \(ED = 40\), and \(IK\) corresponds to \(HK\) (by similarity of polygons, the ratio of \(EF\) to \(IH\) is the same as the ratio of \(ED\) to \(HK\))

Step3: Set up the proportion

\(\frac{50}{3}=\frac{40}{HK}\)

Step4: Cross - multiply

\(50\times HK=3\times40\)

Step5: Solve for \(HK\)

\(HK=\frac{3\times40}{50}=\frac{120}{50}=\frac{12}{5} = 2.4\)

Answer:

\(2.4\)