# An equilater triangle

Given an equilateral triangle $\Delta ABC$. Let $D$ be point on $[BC]$. Let $I$ and $J$ be incenter of $\Delta ABD$ and $\Delta ACD$. Let $K$ be circumcenter of $\Delta AIJ$.

Prove that $\Delta IJK$ is an equilateral triangle.

Author: Van Khea, Cambodia