Rational Divisions of Triangles

In the actual folding application, if the final marking along the crease line is very close to the triangle corner on the end of the constructed median (e.g. 1/15 or 1/31), making the final crease line (AP) precise would be difficult. The median binary approach can still be applied by using another median. For a chosen side of any triangle, one can use either end of the target side as the end of the median. The small angle folding scenario can be avoided. The alternative puts this method in good use.