Triangle with an Area of 9

Move C anywhere new so that Triangle ABC still has an area of 9 units squared. What are its coordinates?

Move C so that Triangle ABC is a right triangle with an area of 9 units squared. What are its coordinates?

How do you know you have made a right triangle?

Move C so that Triangle ABC is an obtuse triangles with an area of 9 units squared. What are the coordinates?

Explain why you may move C to each of these coordinates and countless more and still get an area of nine square units.