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Lynna [10]
3 years ago
11

In triangle ABC segment DE is parallel to the side AC. (The endpoints of segment DE lie on the sides AB and BC respectively). Fi

nd DE, if AC=20cm, AB=17cm, and BD=11.9cm;
Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
4 0

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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