GanAiwen wrote:
So I'm trying to recall the following: can you deduce that a triangle is a Pythagorean Triple (PT) based on only the hypotenuse? Ex. If we know it's a right triangle, and are given the hypotenuse 5, can we assume that the legs are 3 and 4?
I know this doesn't work the other way around, meaning if we knew it was a right triangle, and was only given a leg of 3, we couldn't assume it was a PT. Is it a different case for a hypotenuse though?
Would appreciate any help, as well as a link to where you might have found your explanation.
I will add one more point here:
Pythagorean triplets represent the right triangle with integral sides. So if you know the hypotenuse is 5 and the other 2 sides are integers too, then the other two sides must be 3 and 4. Else, they could be anything.
Check out this wikipedia link for more:
http://en.wikipedia.org/wiki/Pythagorea ... an_triples _________________
Karishma
Veritas Prep GMAT Instructor
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