ΔABC ~ ΔDEF, AB=9.1 cm and DE=6.5 cm, if the perimeter of ΔDEF=25 cm :

ΔABC ~ ΔDEF, AB=9.1 cm and DE=6.5 cm, if the perimeter of ΔDEF=25 cm, what is the perimeter of ΔABC in cm?

  1. 35
  2. 28
  3. 42
  4. 40
Anurag Mishra Professor Asked on 17th December 2015 in Maths.
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  • 1 Answer(s)

    Answer:  (1) 35 

    Solution:-
    AB = 9.1 cm  and DE = 6.5 cm 
    Then the ratio of Side AB and DE = 9.1/6.5
     = 7: 5

    The perimeter of triangle DEF = 25 cm 
    Then the perimeter of triangle ABC = 25 x 7/5
     = 5 x 7 
     = 35 cm 

    Hence, the correct answer is option (1) 35. 

    Anurag Mishra Professor Answered on 17th December 2015.
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