math approximation problem: take a right triangle. Is there a simple geometric construction that can approximate the difference between the hypotenuse length and the sum of length of the two legs (AKA, the amount of distance saved by "cutting the corner")?
@PhiNotPi Two circles? Given triangle ABC where AB and BC are at right angles, then: extend AB, draw circle centered on B with radius BC, and draw circle centered on A with radius AC.
Not even an approximation either, since the distance between the circles' intersections with AB is exact.