Here’s this weekend’s homework.
Nigel, Derrick, and Rose are competing in a reality TV show. They are in three different locations in the woods. They are competing to find a hidden treasure.
The organizers of the show want to make the competition fair, so they place the treasure exactly the same distance from each competitor.
That location is the circumcentre of the triangle formed from their starting positions.
Nigel is at coordinates (0,0). Derrick is at (6,2), and Rose is at (8,0).
Find the coordinates of the circumcentre.