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Re: Two sides of a triangle are 8 and 9 long. [#permalink]
1
bostonrules222 wrote:
mohan514 wrote:
The range for 3rd side is difference between the other 2sides and sum of other 2 sides.

So it can only take values greater than 1 and less than 17.

17 square is 289.

Square root of 290 is slightly greater than 17 is beyond the possible limit of 3rd side of the triangle.

Hence B is greater than A


Just curious is that range inclusive? Is it 1 < x < 17 or 1 <= x <= 17 ?


Not inclusive.
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Re: Two sides of a triangle are 8 and 9 long. [#permalink]
3152gs wrote:
bostonrules222 wrote:
mohan514 wrote:
The range for 3rd side is difference between the other 2sides and sum of other 2 sides.

So it can only take values greater than 1 and less than 17.

17 square is 289.

Square root of 290 is slightly greater than 17 is beyond the possible limit of 3rd side of the triangle.

Hence B is greater than A


Just curious is that range inclusive? Is it 1 < x < 17 or 1 <= x <= 17 ?


Not inclusive.



In reality no, but theoretically you could have 16.9999999999999999999999999999999999999999999999999999999 or 1.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000001 as your value. Very close.
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Re: Two sides of a triangle are 8 and 9 long. [#permalink]
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