# Creating Right Triangles!

- Author:
- Tim Brzezinski

Creation of this resource was inspired by this Open Middle problem submitted by Erick Lee.
Using the digits 1-8 as coordinates of points

*A*,*B*, and*C***at most one time each**, position*A*,*B*, and*C*so they serve as vertices of a**RIGHT TRIANGLE**.**How many possibilities exist here?**## 1.

List 3 ordered pairs (with no repeated coordinate digits) that make a right triangle. Then with these coordinates, prove algebraically that this triangle is indeed a right triangle.

## 2.

List a different set of 3 ordered pairs (with no repeated coordinate digits) that make a right triangle. Then with these coordinates, prove algebraically that this triangle is indeed a right triangle.