A super activity where pupils can decide how to find the centre of a triangle: then you may have to support them with the appropriate constructions.
Also you can watch the excellent Journey to the Centre of a Triangle from 1976 which, amongst other things, shows when some or all of the the four centres of the triangle coincide.
Plenty of help and support available on Constructions at the excellent Math Open Reference site (though it does have a lot of adverts) – for an excellent advert blocker see below.
This works really well:Free Adblock softwareWindows and Mac
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