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Topic: Pythagorean triangles
Replies: 7   Last Post: Feb 24, 1998 8:09 PM

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Eileen M. Klimick Schoaff

Posts: 42
Registered: 12/6/04
Re: Pythagorean triangles
Posted: Jun 3, 1997 2:11 PM
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Regarding Pythagorean triples. There are a set of generating formulas.
However, if you have two right triangles that are to have the same area, then
by the Pythagorean theorem: a^2 + b^2 = c^2 and a'^2 + b'^2 = c'^2.
The area of the triangles would be equal, so 1/2*ab = 1/2*a'*b'.

Now if you have one triple, a,b,c, you have ab = a'*b', so what are possible
values for a' and b'? Can you find a corresponding c' that is an integer?

Then there is the question: Is a 3-4-5 triangle different from a 4-3-5
triangle?

E. Schoaff
Buffalo State College





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