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# AB BC and AC represent sides of a triangle ABC Is triangle

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Director
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AB BC and AC represent sides of a triangle ABC Is triangle [#permalink]

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09 Nov 2007, 09:12
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AB BC and AC represent sides of a triangle ABC

Is triangle ABC an Equilateral?

a. AB =1
b. BC+AC =2

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CEO
Joined: 29 Mar 2007
Posts: 2553

Kudos [?]: 528 [0], given: 0

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09 Nov 2007, 09:26
Ozmba2006 wrote:
AB BC and AC represent sides of a triangle ABC

Is triangle ABC an Equilateral?

a. AB =1
b. BC+AC =2

Id say E

AB=1. Nothing about the other sides

AB=1 BC+AC=2. BC could be anything so long as when added to AC it = 2. Nothing says the sides have to be integers.

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Director
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09 Nov 2007, 09:29
for a triangle

sum of two sides should be greater than the third

and given a = 1 and b+c =2 can we find such numbers?

so i think here only 1,1,1 fit the case

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VP
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09 Nov 2007, 09:33
If triangle ABC is equilateral then the ratio of AB:BC:AC has to be 1:1:1

statement 1

AB = 1

Tells us nothing about BC or AC

insufficient

statement 2

BC+AC = 2

insufficient

both statements

AB+BC+AC = 3

since we know that in any triangle two sides have to equal to or bigger then the third side. the only possibale value for AB BC or AC is 1.

If AB = 1 BC = 2 and AC = 0

then this is not a triangle.

sufficient

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CEO
Joined: 29 Mar 2007
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Kudos [?]: 528 [0], given: 0

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09 Nov 2007, 09:33
Ozmba2006 wrote:
AB BC and AC represent sides of a triangle ABC

Is triangle ABC an Equilateral?

a. AB =1
b. BC+AC =2

AB=1

BC+AC=2

1 1.4 .6

Could be this 1.4+1>.6 1.4+.6>1 1+.6>1.4

and AB=1 and BC+AC=2

Or could be 1 1 1

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Director
Joined: 14 Feb 2005
Posts: 999

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09 Nov 2007, 09:35
Quote:
AB=1

BC+AC=2

1 1.4 .6

Could be this 1.4+1>.6 1.4+.6>1 1+.6>1.4

and AB=1 and BC+AC=2

Or could be 1 1 1

Great!

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VP
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09 Nov 2007, 09:36
GMATBLACKBELT wrote:
Ozmba2006 wrote:
AB BC and AC represent sides of a triangle ABC

Is triangle ABC an Equilateral?

a. AB =1
b. BC+AC =2

AB=1

BC+AC=2

1 1.4 .6

Could be this 1.4+1>.6 1.4+.6>1 1+.6>1.4

and AB=1 and BC+AC=2

Or could be 1 1 1

Yes - good one !

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Re: Powerprep DS 2   [#permalink] 09 Nov 2007, 09:36
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