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# In triangle ABC , the length of AB is 3 and the length of BC

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GMAT Instructor
Joined: 04 Jul 2006
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In triangle ABC , the length of AB is 3 and the length of BC [#permalink]

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14 Jul 2006, 04:03
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In triangle ABC , the length of AB is 3 and the length of BC is 4. Is ABC a right triangle?

(1) The length of AC is not 5
(2) ABC is an isosceles triangle

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Manager
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14 Jul 2006, 05:18
(1) alone is sufficient.
Using phytagora: we get that AC must be equal to 5 if the triangle is a right triangle. Therefore, we know that the triangle cannot be a right triangle.

(2) alone is sufficient, too.
The triangle is isoscele => AB=AC or BC=AC.
Using Pythagoras again, we can see that the triangle cannot be a right triangle.

Hence, D.

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VP
Joined: 25 Nov 2004
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14 Jul 2006, 07:09
Easy D.

kevin, this question is not from you.

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CEO
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Schools: Completed at SAID BUSINESS SCHOOL, OXFORD - Class of 2008

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14 Jul 2006, 07:14
B

St1: If two sides are 3 and 4 then for triangle to be right angle triangle, third side may be 5 (If 3 and 4 are sides other than hypotenuse) or SQRT(7) ((If 4 is hypotenuse): INSUFF

St2: If this is an isosceles triangle then third side may be 3 or 4. In both cases its not the right angle triangle.: SUFF
_________________

SAID BUSINESS SCHOOL, OXFORD - MBA CLASS OF 2008

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VP
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14 Jul 2006, 07:24
kevincan wrote:
MA wrote:
Easy D.

kevin, this question is not from you.

Oh, yes it is! OA B

he he

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Manager
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14 Jul 2006, 10:13
Great Problem. Tricky one just like the GMAT. I not suff since 4 could be hypotenuse and third side could be Sqrt(7).

II suff.

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14 Jul 2006, 10:13
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