Directions: Using the digits 0 to 9 at most one time each, fill in the boxes to create a square with one of the vertices at (2,3).

### Hint

What do we know about the slopes of the lines that create the sides of the square?

What properties make a square?

Which Pythagorean triple could be used to produce side lengths that keep our square withing the given area?

What properties make a square?

Which Pythagorean triple could be used to produce side lengths that keep our square withing the given area?

### Answer

There are multiple solutions, one example is:

(5, 7), (9, 4), and (6, 0)

(5, 7), (9, 4), and (6, 0)

Source: John Mahlstedt

Are we missing an area measurement?

Nevermind! 🙂

the link to print doesn’t seem to be working

I wrote this program inspired by this problem to give students another way to approach the problem without paper.

http://mrosvhs.pencilcode.net/home/OpenMiddle/Squares