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Question

If two sides of a triangle are 6 cm and 8 cm, then the length of the third side is

A
7 cm
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B
2 cm
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C
greater than 2 cm and less than 14 cm
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D
none of these
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Solution

The correct option is C greater than 2 cm and less than 14 cm
In a triangle sum of length of the either of the two sides of a triangle is always greater than the third side so third side will be less then sum of the length of two given sides i.e.(6+8=14cm) and also the difference of the length of either of two sides will be less than the third side so, third side will be greater than the difference of these two (8-6=2cm)
so, third side will be greater than 2cm and less than 14cm

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