Answer:
(d) 18
Explanation:
You want the length of side FE in the triangle shown.
Similar triangles
The right triangles shown are similar by the AA similarity theorem. This means corresponding sides are proportional.
∆DFE ~ ∆GHE
FE/DF = HE/GH
FE = DF·(HE/GH) = 9(8/4) = 18
The length of side FE is 18 units, matching choice D.
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Additional comment
The figure is not drawn to scale.
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