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# Is the length of the diagonal of a rectangle bigger than

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CEO
Joined: 21 Jan 2007
Posts: 2714
Location: New York City
Is the length of the diagonal of a rectangle bigger than [#permalink]

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29 Oct 2007, 12:41
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Is the length of the diagonal of a rectangle bigger than $$\sqrt{6}$$?

1. The shorter side of a rectangle is 2
2. The longer side of a rectangle is 3
[Reveal] Spoiler: OA
Manager
Joined: 26 Sep 2007
Posts: 64
Re: Is the length of the diagonal of a rectangle bigger than [#permalink]

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29 Oct 2007, 13:10
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D

If the shorter side of rectangle is 2 then longer side will be >2
Diagonal =sqrt (4+ (>4)) which is > sqrt(6)
Sufficient

Statement (2)
If the longer side of rectangle is 3 then shorter side will be <3
Diagonal =sqrt (9 + (<9)) which is greater than sqrt(6)
Sufficient
CEO
Joined: 29 Mar 2007
Posts: 2523
Re: Is the length of the diagonal of a rectangle bigger than [#permalink]

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29 Oct 2007, 21:59
bmwhype2 wrote:
Is the length of the diagonal of a rectangle bigger than sqrt(6)?

1. The shorter side of a rectangle is 2
2. The longer side of a rectangle is 3

1: 2^2+2^2 (U wanna test the extreme so just say 2^2 for the longer side, it could be 2.000000000000000000000000000000000000000001^2)

8=c^2 So sqrt 8 is greater than sqrt6 Suff.

2: Just use 3^2 b/c shorter side could be .00000000000000000000001

sqrt9>sqrt 6.

D.
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Posts: 6530
Re: Is the length of the diagonal of a rectangle bigger than [#permalink]

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19 Aug 2017, 23:54
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Re: Is the length of the diagonal of a rectangle bigger than   [#permalink] 19 Aug 2017, 23:54
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