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Question

The lengths of two sides of a triangle are 6 cm and 8 cm. Between which two numbers can the length of the third side fall? (assuming the length of the third side to be x cm )

A
2x14
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B
2<x<14
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C
4x12
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D
3<x<14
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Solution

The correct option is B 2<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 86=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.

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