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.