Open Middle®
Directions: Using the digits 0 to 9, at most one time each, place a digit in each box 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