The inequality as follows like the [Erdős–Mordell inequality](https://en.wikipedia.org/wiki/Erd%C5%91s%E2%80%93Mordell_inequality), I found a year ago, and sent the inequality to some people but I no have a proof until now.

>> Let $ABC$ be a triangle with the centroid $G$, $D$ is the point in the plane. Let $GEF$ is a cevian triangle of $D$. How can prove that: 

>> $$DA+DB+DC \le 2(DG+DE+DF)+3DG$$

[![enter image description here][1]][1]


  [1]: https://i.sstatic.net/DihJe.png