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Question

# Lengths of two sides of a triangle are 12 cm and 15 cm. Then the length of the third side must be .

A
> 5 cm & < 27 cm
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B
> 3 cm & < 27 cm
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C
> 5 cm & < 12 cm
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Solution

## The correct option is B > 3 cm & < 27 cmGiven, lengths of two sides of a triangle are 12 cm and 15 cm. Let the length of the third side be L. We know, the sum of the lengths of any two sides of a triangle is greater than the length of the third side. So, (15 + 12) > L i.e., L < 27 cm Also, we know the difference between the lengths of any two sides is lesser than the length of the third side. Hence, (15 - 12) < L i.e., L > 3 cm

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