Directions: Create a square with one of the vertices at (2,3). Fill in the blanks with whole numbers 0 through 9, using each number at most once, to show the rest of the vertices of the square. Bonus: Find more than one set of vertices.

### Hint

### 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

### 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! 🙂