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Points A, B, and C form a triangle. Is angle ABC > 90

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Points A, B, and C form a triangle. Is angle ABC > 90 [#permalink] New post 24 Feb 2008, 11:44
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Points A, B, and C form a triangle. Is angle ABC > 90 degrees?
1. AC = AB + BC - 0.001
2. AC = AB
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Re: Tricky geo [#permalink] New post 25 Feb 2008, 00:06
marcodonzelli wrote:
Points A, B, and C form a triangle. Is angle ABC > 90 degrees?
1. AC = AB + BC - 0.001
2. AC = AB


B. in 2, abc cannot be > 90.
in 1, it can or cannot be.
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Re: Tricky geo [#permalink] New post 25 Feb 2008, 00:53
Expert's post
B

a good one (+1)

1. AC = AB + BC - 0.001 : angle ABC is (0,180). insufficient
2. AC = AB : angle ABC is (0,90). sufficient
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Re: Tricky geo [#permalink] New post 25 Feb 2008, 01:25
Walker,

If AC = AB : angle ABC is (0,90). sufficient How?

Please explain.

regards,
Pras
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Re: Tricky geo [#permalink] New post 25 Feb 2008, 08:05
Expert's post
prasannar wrote:
Walker,

If AC = AB : angle ABC is (0,90). sufficient How?

Please explain.

regards,
Pras


Is angle ABC > 90 degrees? No, because the angle is less 90. Therefore, information is sufficient to answer the question.
Hope this help :)
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Re: Tricky geo [#permalink] New post 26 Feb 2008, 08:11
marcodonzelli wrote:
Points A, B, and C form a triangle. Is angle ABC > 90 degrees?
1. AC = AB + BC - 0.001
2. AC = AB


Just draw out the triangle.

S1: No help here.

S2:

Ul see that Angle ABC is equal to one of the other angles. We cannot have ABC >90* no matter what we do to the other angles b/c its equal to one of the other angles.

B
Re: Tricky geo   [#permalink] 26 Feb 2008, 08:11
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Points A, B, and C form a triangle. Is angle ABC > 90

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