Firstly, we need to build median point(perpendicular line). I made it in red line and it's labled as D.
Secondly, we need to build orthocentre. This is the line that makes right angle on the line. I made it with green line and it's labled as E.
Thirdly, we need to build centre of of circumcirle. It's same as median point.
Fourthly, we need to build centre of incircle and it's same as orthocentre.
Fifly, we just need to connect these 4 centres together to form a Euler Line. I labled this as the dark black line.
It may not work, sorry MR.
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