by The Qurqirish Dragon <qurqirishd@[EMAIL PROTECTED]
>
Apr 26, 2008 at 09:04 AM
On Apr 26, 4:28 am, perash <mk_...@[EMAIL PROTECTED]
> wrote:
> Let T be a triangle of area 6 square inches and perimeter 12 inches.
Show
> that the triangle T can be cut into 2006 triangles each of which has
perimeter strictly
> larger than 6 inches.
Hint: a 3-4-5 right - triangle is an example of a T satisfying the
given.
Hint 2: you can make an infinite number of sub-triangles with
perimeter strictly larger than 10 inches, 6 is too easy.
Hint 3: remember: the perimeter of a (non-degenerate) triangle is
strictly larger than twice the longest side.