# Which triangle center is it?

Geometry Level 4

$$AB=AD=BG \text{, } AC=AH=CF \text{, } BC=BI=CE$$.

$$L$$ is a midpoint of $$ED$$, $$K$$ is a midpoint of $$FG$$, $$J$$ is a midpoint of $$HI$$.

What is point $$P$$ in $$\triangle ABC$$ ?

×