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Pouring Salt on a Triangle

Salt was poured on top of a cardboard triangle until there was as much salt as it would hold. Questions to consider: a) What is so special about where the top of the salt heap is located? b) What is so special about where the ridges are located? c) Why is the top of the salt heap the same __________ to the three __________? You can download this GeoGebra sketch using this link: http://tube.geogebra.org/material/download/format/file/id/1402921