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Question

Given DEF  ABC. If AB = 3 cm, BC = 2 cm, CA = 2.5 cm and EF = 4 cm, then the perimeter of DEF is ____.
 


  1. 15 cm

  2. 20 cm

  3. 17 cm

  4. 16 cm  


Solution

The correct option is A

15 cm


Given DEF  ABC. 

ABDE=ACDF=BCEF

3DE=2.5DF=24 =12

Perimeter (ABC)Perimeter (DEF)=12

7.5Perimeter (DEF)=12      .......(ratio of perimeters of similar triangles)

Perimeter (DEF) = 15 cm

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