In the diagram, point has coordinates .
Hide/Reveal Description of Points A is 2 units right and 5 units up from the origin B is 3 units right and 2 units up from the origin C is 4 units right and 6 units up from the origin D is 5 units right and 4 units up from the origin E is 6 units right and 3 units up from the origin F is 6 units right and 6 units up from the origin Points and are two vertices of a triangle. Which of the following points can be joined to and to create a triangle with an area of 6?
, 2019
Pick one
Solution
One complete rotation equals . Therefore, and so .

Want a route through all this instead of an archive? The track
puts 2,604 problems in a working order, from Junior Challenge level to the IMO shortlist.