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Question

In two similar triangles ABC and DEF, AB = 5cm, DE = 9cm If the area of triangle DEF is 405 cm² then area of triangle ABC = cm².

  1. 225    
  2. 350    
  3. 125    
  4. 100    

The correct answer is: 225


    To find the area of triangle ABC. 

    In two similar triangles ABC and DEF, AB = 5cm, DE = 9cm If the area of triangle DEF is 405 cm² .

    We know that the ratio of area of two similar triangles is equal to the ratio of squares of their corresponding sides.

    fraction numerator triangle A B C over denominator triangle D E F end fraction =  open parentheses fraction numerator A B over denominator D E end fraction close parentheses squared .

    fraction numerator triangle A B C over denominator 405 end fraction
  = open parentheses 25 over 81 close parentheses .

    triangle ABC = 125 c m squared .

    Therefore, area of triangle ABC is 125 c m squared .
     

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