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Question

If a diagonal AC of a parallelogram ABCD is of length 6 cm and side AB is of length 4 cm, then the length of side BC will be 


  1. < 2 cm 

  2. > 2 cm 

  3. = 2 cm 

  4. < 1 cm 


Solution

The correct option is B

> 2 cm 


We know that sum of any two sides of a triangle is greater than its third side.
In the parallelogram ABCD, consider the triangle ABC.

We have, AB + BC > AC

BC > 6 cm - 4 cm

BC > 2 cm

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