Study and Strategy questions relating to the GMAT.
nlfgreen
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General Theorem Question about Geometry (Triangles)

by nlfgreen Thu Dec 16, 2010 7:23 pm

Please confirm:
If you are told that a right triangle has a side length (non-hypotenuse side) of 12, you can assume that the other side is 5 and the hypotenuse is 13.

However, if you're given a triangle (and not told that it's a right triangle) and told a side is 12, you canNOT assume its a right triangle with one side of length 5 and a hypotenuse of length 13.

Thank you!
pellucide
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Re: General Theorem Question about Geometry (Triangles)

by pellucide Sun Dec 19, 2010 8:35 pm

nlfgreen Wrote:Please confirm:
If you are told that a right triangle has a side length (non-hypotenuse side) of 12, you can assume that the other side is 5 and the hypotenuse is 13.

I dont think you can assume that. The other non-hypotenuse side can be of any length.

nlfgreen Wrote:However, if you're given a triangle (and not told that it's a right triangle) and told a side is 12, you canNOT assume its a right triangle with one side of length 5 and a hypotenuse of length 13.

Thank you!


In this case, you cannot asume anything. The triangle could be a acute triangle or an obtuse triangle or a right triangle.
StaceyKoprince
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Re: General Theorem Question about Geometry (Triangles)

by StaceyKoprince Tue Dec 21, 2010 11:40 am

1) PLEASE read (and follow!) the forum guidelines before posting. This folder is for General Strategy questions about how to study or take the test. The above question belongs in the General Quant folder.

2) pellucide is right (lucky for you pellucide answered or you would have had to repost in the other folder and wait some more - so thank him/her!)

:)
Stacey Koprince
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Director, Content & Curriculum
ManhattanPrep