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Equilateral triangle?

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Equilateral triangle? [#permalink] New post 13 Oct 2009, 21:08
Is triangle ABC equilateral?

a) AB = 1
b) BC + AC = 2
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Re: Equilateral triangle? [#permalink] New post 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.
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Re: Equilateral triangle? [#permalink] New post 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.
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Re: Equilateral triangle? [#permalink] New post 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.
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Re: Equilateral triangle? [#permalink] New post 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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