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Question

In triangle ABC, D and E are the points on sides AB and AC respectively. If AB = 18 cm,  AD = 8 cm, AE = 12 cm and EC = 15 cm, then .
  1. DE = BD
  2. ∠ADE = ∠ACB
  3. AE = AD
  4. DE || BC


Solution

The correct option is D DE || BC


Given : AB=18 cm,AD=8 cm,AE=12 cm and EC=15 cm

DB=ABAD=188=10 cm

Now, ADDB=810 = 45

and AEEC=1215=45

ADDB = AEEC

DEBC (By converse of basic proportionality theorem)

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