6 pts on plane, pairs are integer distances apart, no 3 are collinear: possible?

[benjamin1234]

Hi,

Hope everyones having a good day!

The problem i have is: Can you put six points on the plane so that the distance between any two of them is an integer and no three lie on the same line?

If anyone has got any ideas to how I could tackle this problem it would be much appreciated.

Many thanks in advance

Ben

 

[Deleted member 4993]

Hi,

Hope everyones having a good day!

The problem i have is: Can you put six points on the plane so that the distance between any two of them is an integer and no three lie on the same line?

If anyone has got any ideas to how I could tackle this problem it would be much appreciated.

Many thanks in advance

Ben

Get a piece of graph paper and see what you can do with pythagorean triplets.

 

[pka]

The problem i have is: Can you put six points on the plane so that the distance between any two of them is an integer and no three lie on the same line? If anyone has got any ideas to how I could tackle this problem it would be much appreciated.

If you like neat constructions have a LOOK HERE.