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Question

The areas of two similar triangles are 49 cm2 and 64 cm2 respectively. The ratio of their corresponding sides is ____.


  1. 49:64

  2. 16:49

  3. None of the above
  4. 7:8


Solution

The correct option is D

7:8


The ratio of areas of two similar triangles is equal to ratio of squares of corresponding sides.
4964=(Side of  first 1st triangle)2(Corresponding side of 2nd triangle)2
 
78=Side of  first 1st triangleCorresponding side of 2nd triangle 

Ratio of corresponding sides =7:8

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