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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 )