Question

# Which of the following set of measurements cannot be the lengths of sides of a triangle?

A
3714cm,1812cm,2534cm
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B
4212cm,7314cm,3012cm
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C
4834cm,5912cm,4514cm
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D
714cm,812cm,15cm
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Solution

## The correct option is B 4212cm,7314cm,3012cm In a triangle, the sum of two sides is always greater than the third side. Consider the lengths of sides of a triangle as 4212cm,7314cm and 3012cm Now, 4212+3012=73<14 Since the sum is less than the third side, therefore, such a triangle cannot be constructed. Hence, the correct answer is option (b).

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