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# Equilateral triangle?

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Senior Manager
Joined: 30 Nov 2008
Posts: 491
Schools: Fuqua
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13 Oct 2009, 21:08
Is triangle ABC equilateral?

a) AB = 1
b) BC + AC = 2
Senior Manager
Joined: 18 Aug 2009
Posts: 328
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13 Oct 2009, 21:16
mrsmarthi wrote:
Is triangle ABC equilateral?

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

IMO E.

AB = 1, BC = 0.75 and AC = 1.25 will be a valid triangle but not equilateral.
AB = 1, BC = 1 and AC = 1 will also be a valid triangle and equilateral.
Senior Manager
Joined: 30 Nov 2008
Posts: 491
Schools: Fuqua
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Kudos [?]: 247 [0], given: 15

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13 Oct 2009, 21:28
hgp2k wrote:
mrsmarthi wrote:
Is triangle ABC equilateral?

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

IMO E.

AB = 1, BC = 0.75 and AC = 1.25 will be a valid triangle but not equilateral.
AB = 1, BC = 1 and AC = 1 will also be a valid triangle and equilateral.

Can you please explain E is the ans.

I think the ans is C because we can say that the triangle is equilateral with each side being 1. If the lengths of each side is not 1, then we cannot have a triangle.
Director
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Name: Ronak Amin
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13 Oct 2009, 21:39
In the first example given by hgp2k...we have a possibility with sides 1, 0.75,1.25....each side is less than the sum of other two sides...and the difference between any two sides is less than the third side. So this is a valid triangle.
Senior Manager
Joined: 30 Nov 2008
Posts: 491
Schools: Fuqua
Followers: 10

Kudos [?]: 247 [0], given: 15

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13 Oct 2009, 22:23
OK got it.....My bad....Thanks for clarifying.
Re: Equilateral triangle?   [#permalink] 13 Oct 2009, 22:23
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# Equilateral triangle?

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