For each set of points determine what sort of triangle the three coordinates form (equilateral, isosceles, right-angled and scalene). How many of each type are there in the sets of coordinates given below?
What might we want to know about the points in order to think about what sort of triangle they form?
Sketching the points might help you get a sense of the possible types of triangle.
Think carefully about your definitions for each type of triangle.
You might want to go back to these worked examples if you are not sure where to start.