Before using any of the buttons, explore the following:
This interactive shows the location of three cities in relation to one another. Where should a major hospital be built so that it is equidistant to each city?
At any time, answer the following questions:
- When does the circumcenter lie outside of the triangle?
- Why are only two perpendicular bisectors needed to find the circumcenter?
- Why does this construction work? Create a formal proof.