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In triangle ABC segment DE is parallel to the side AC. (The endpoints of segment DE lie on the sides AB and BC respectively). Find DE, if AC=20cm, AB=17cm, and BD=11.9cm;

Respuesta :

sqdancefan

Answer:

  DE = 14 cm

Step-by-step explanation:

Segment DE creates similar triangles DBE and ABC. Thus ...

  BD/BA = DE/AC

  11.9/17 = DE/(20 cm) . . . . . fill in the given values

  DE = (20 cm)·(11.9/17) = 14 cm . . . . . multiply by 20 cm

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