Divide Triangle Asymmetrically

Calculator for length and area of an isosceles triangle divided parallel to the base. The division does not take place through the tip, which would result in two equal parts when bisected, but in such a way that another triangle and a quadrangle are created, with the area of the triangle being smaller for the same length. The relationship between length and area of the new triangle (left part) is quadratic, if the length is half the original one, then the area is one quarter, if length is one third, the area is one ninth, and so on. The angle of the triangle is irrelevant.

Default values are specified for the triangle that is to be divided. These can be changed, please enter two of the three values. The length is the length of the bisecting line, not of the legs.
With the slider below the triangle you can adjust the size of the parts. Or you can enter a value of the left triangle and press Calculate.
Delete default deletes the values of the entire triangle, Delete parts those of both parts. Bisect calculates the values for half the area.