Why do this problem?

Learners can investigate using the interactivity, make a conjecture and then try to prove their own conjecture.

It can be an exercise in coordinates.

It is useful for learners to appreciate that the symmetry of the result makes it unecessaryto work out all three distances.

Possible approach

Ideally learners would work independently on this problem.

Key question

How do we find the coordinates of the centroid of an equilateral triangle?

Possible support

GeoGebra is FREE educational mathematics software and your learners can experiment with it and draw their own dynamic diagrams.