2020/09/01 by Makhul, Mehdi
#FOS: Mathematics #Number Theory (math.NT)
paper · doi:10.48550/arxiv.2009.00654
A perfect triangle is a triangle with rational sides, medians, and area. In this article, we use a similar strategy due to Pocklington to show that if Δ is a perfect triangle, then it cannot be an isosceles triangle. It gives a partial answer to a question of Richard Guy, who asked whether any perfect triangles exist. No example has been found to date. It is widely believed that such a triangle does not exist.