The lengths of two sides of a triangle are 6cm and 8cm. Between which two numbers can the length of the third side fall? (assuming the length of the third side to be xcm )
A
2≤x≤14
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B
2<x<14
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C
4≤x≤12
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D
3<x<14
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Solution
The correct option is B2<x<14 The least measure the third side can have is the difference of the two sides as it would form a degenerate triangle.
Hence, third side must be greater than 8−6=2.
The greatest measure the third side can have is less that the sum of the other two sides.
Hence, the third side must be less than 8+6=14.