Create Squares

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?

Answer

There are multiple solutions, one example is:
(5, 7), (9, 4), and (6, 0)

Source: John Mahlstedt

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5 comments

  1. Are we missing an area measurement?

  2. the link to print doesn’t seem to be working

  3. Jeramie Oliveira

    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

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