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3-4-5 Triangles

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Celene
 Post subject: 3-4-5 Triangles
 Post Posted: Sat Apr 19, 2008 7:55 am 
Are all 3-4-5 (Pythagorean triples) triangles right triangles? Or if we are told it is a 3-4-5 triangle, can we not assume right triangle. Thanks!
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Guest
 Post subject:
 Post Posted: Tue Apr 22, 2008 6:27 pm 
yes ... all 3-4-5 triangles are right triangles.
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RonPurewal
 Post subject: Re: 3-4-5 Triangles
 Post Posted: Wed Apr 23, 2008 4:46 am 
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ManhattanGMAT Staff


Posts: 7146
Celene wrote:
Are all 3-4-5 (Pythagorean triples) triangles right triangles? Or if we are told it is a 3-4-5 triangle, can we not assume right triangle. Thanks!



yes.

it works the other way around, too:
if you have a right triangle with legs in a 3:4 ratio, then it has to be 3:4:5 overall. same goes for a right triangle with leg:hypotenuse = 3:5 or 4:5.

beware of 'impostor' triangles, though. if you see a right triangle in which the ratio of leg to hypotenuse is 3:4, then it's not a 3-4-5 triangle, because the 'five' part of the ratio has to be on the hypotenuse.
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