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Heronian Triangle


A Heronian triangle has integer sides and integer area. ( Take for example sides 25,34,39 which has area 420 ) Prove that for any Heronian triangle we can find a representation in the lattice \mathbb{Z} \times \mathbb{Z}. ( i.e. we can find three points in \mathbb{Z}\times \mathbb{Z} such that the initial triangle is congruent with the triangle formed by these three points )

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