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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


A

< 1 cm

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B

= 2 cm

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C

< 2 cm

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D

> 2 cm

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Solution

The correct option is D

> 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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