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Given 2 points on a plane, if you arbitrarily place a third, is there any way to determine the closest approximation to this triangle where all sides of the approximation are rationally related?

The only thing I can think of would be to draw a small circle around the third point that represents the acceptable search area for the third point of the approximation, but after that, I'm completely stuck.

Anyone know if there is a fairly efficient way to do this?

Thanks

The only thing I can think of would be to draw a small circle around the third point that represents the acceptable search area for the third point of the approximation, but after that, I'm completely stuck.

Anyone know if there is a fairly efficient way to do this?

Thanks

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