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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 which of the following conditions is/are true?


  1. DEBC

  2. AE = AD

  3. ADE=ACB

  4. DE = BD


Solution

The correct option is A

DEBC



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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