Find all integer sided triangles whose area and perimeter have the same numerical value.
Area A and perimeter p have the same numerical value if and only if the
inradius r is 2, since A=pr/2. The question arises then as to how
many triangles have integer sides and a given integer inradius
r=1,2,.... This turns out to be a known sequence -- See OEIS
id:A120062 where the first few terms are 1,
5,13,18,15,....
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Posted by Richard
on 2006-06-22 20:32:09 |
integer sides and inradius
