[size=150]Creation of this resource was inspired by this [url=https://www.openmiddle.com/creating-right-triangles-2/]Open Middle problem[/url] submitted by [url=https://pbbmath.weebly.com/]Erick Lee[/url]. [br][br][/size][size=150]Using the digits 1-8 as coordinates of points [i]A[/i], [i]B[/i], and [i]C [/i][b]at most one time each[/b], position [i]A[/i], [i]B[/i], and [i]C[/i] so they serve as vertices of a [b]RIGHT TRIANGLE[/b]. [br][br][b][color=#ff00ff]How many possibilities exist here?[/color][/b] [/size]
[size=150]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. [/size]
[size=150]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. [/size]