  The subject of this article is to examine the triangles with integer sides and medians with the aim to define the existence or absence of such triangles with integer area. This article also studies the medians behavior of triangles with integer sides and medians. The relevance of the problem under study lies in the fact that it is one of unsolved problems of number theory [1]. The purpose of the article is to prove that the triangle with integer sides, medians and area does not exist. 
Does the triangle with integer sides, medians and area exist?