Calculations for one illustration of the Pythagorean Theorem

Abstract

On the sides of a right-angled isosceles triangle, squares external to this triangle are built. The task is to
construct a straight line on a plane that divides a figure consisting of these three squares into two equal-sized (that is,
equal area) figures. Some parameters determined by this line are calculated, in particular, the areas of parts of the original
squares in half-planes. The corresponding results are illustrated by various drawings, tables and graphs.