It would be the intercept of the perpendicular bisector of the hypotenuse AC inside the triangle
1. Given the right triangle △ABC, construct the locus of all points, N in the interior of the triangle such that
m∡NAC = m∡NCB.
2. Given the right triangle △ABC, construct the point N in the interior of the triangle such that
m∡NAC = m∡NCB = m∡NBA. You may continue building onto your work for #1.
Thank you!